a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be 50⁰ what is the height of the tower​

Answers

Answer 1

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

[tex]\rightarrow[/tex]Now, clearly it is forming a triangle.

So, in triangle ABC,

[tex]\rightarrow[/tex][tex]\sf{Tan50° \:= \: \frac{BC}{AC}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 \:= \: \frac{BC}{50}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 ×50\:= \: BC}[/tex]

[tex]\rightarrow[/tex][tex]\sf{59.5m\:= \: BC}[/tex]

[tex]\rightarrow[/tex]Hence, BC = 59.5m

So, BD(total height of the tower)[tex]\sf{ = \:BC+CD}[/tex]

[tex]\sf{= \:59.5+1.65}[/tex]

[tex]\sf{=\: 61.15m}[/tex]

Therefore, total height of the tower =[tex]\sf\purple{ 61.15m.}[/tex]

________________________________

Hope it helps you:)

A Woman 1.65. Tall Stood 50m Away From The Foot Of A Tower,and Observe That The Angle Of Elevation Of
Answer 2

Answer:

61.24 m to the nearest hundredth.

Step-by-step explanation:

tan 50 = H / 50  

H =  50 tan 50

Height of the tower = H + height of the woman

= 50 tan 50 + 1.65

= 61.2377 m


Related Questions

Layla is determining the area of the trapezoid. Her work is shown below.

A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet.

Step 1: Break the figure into rectangles and triangles.

A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet.

Step 2: Find the area of the rectangle: 8 times 10 = 80.

Step 3: Find the area of the triangle: One-half times 6 times 8 = 24.

Step 4: Add the areas together: 80 + 24 = 104 square feet.

Which best describes Layla’s error?
The height of the triangle in Step 1 should be 4 ft.
The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.
The area of the triangle is Step 3 should be halved because there is only one triangle.
The areas in Step 4 should be multiplied instead of added.

Answers

Answer:

the answer is B <3

Step-by-step explanation:

have a good day!

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Answer:

b

Step-by-step explanation:

Which of the following types of reproduction involve the cell cycle

Budding

Binary fission

Spore Formation

Answers

Budding is the answer

2(square-root of 80/5-5)

Answers

Step-by-step explanation:

4

2

5

5

Pull terms out from under the radical.

4

5

5

The result can be shown in multiple forms.

Exact Form:

4

5

5

Decimal Form:

1.78885438

Answer: -2

Step-by-step explanation: if you take the square root of 80/5, you get 4. Then, you take 4-5, which is -1.

2 x -1= -2

Hope it helps!

a class has five students what is the probability that four of the students were born on a weekday

Answers

Answer:

0.3718688642

Step-by-step explanation:

Weekdays consist of 5 days and weekends consists of 2 days. ... In case if you do not know, there are 7 days in a week.

The probability of one student who were born on a weekday

= 5/7

The probability of one student who were born on a weekend

= 2/7

This question then can be solved by using the binomial distribution formula,

[tex]P(X = 4) = \binom{5}{4} { (\frac{5}{7}) }^{4} {( \frac{2}{7}) }^{1} \\ = 0.3718688642 [/tex]

If a phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call , how much will a 20 minute long distance call cost ?

Answers

Answer: $7.10

Step-by-step explanation

1. mutiply 0.35 times 19 = 6.65

2. 0.45+6.65=7.1

It will cost $7.10 for a 20-minute-long-distance call.

have a good day

Answer:

$7.10

Step-by-step explanation:

What is the probability of getting a head with the flip of a coin?What is the probability of getting a head with the flip of a coin?

Answers

1/2

hope it helps...!!!

Anny is not a very good driver, so she drives really slow. She normally drives at a speed of 50 miles per hour if it is not raining, and 30 miles per hour if it is raining. Today she drove in the sun in the morning and in the rain in the afternoon, for a total of 120 miles in 180 minutes. How many minutes did she drive in the rain?

Answers

Answer:

9.1s

Step-by-step explanation:

Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s                

Hope This Helps :)

The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.

Relationship between distance, time, and speed:

Speed is the ratio of distance traveled to the time taken for traveling.

Speed=distance/time

Unit: m/s

Given data:

It is given that,

Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.

Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.

Calculation:

Consider x be the time required to drive not in the rain and y be the time required to drive in the rain

So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)

Therefore, the total distance covered both in rain and without rain is:

50x+30y=120 (since the total distance she drove is 120 miles)

And the total time required for driving in rain and without rain is:

x + y=3 (since 180 minute = 3 hours)

On solving the above equations we get,

x=[tex]\frac{3}{2}[/tex] and y=[tex]\frac{3}{2}[/tex]

Then,

y=[tex]\frac{3}{2}[/tex]×60(minute)=90 minute

Therefore, the time taken for her to drive in rain is 90 minutes.

Refer to more distance-related problems here:

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What is the longest chord of a circle? All chords are the same length. The radius is the longest. There is no way to tell. The diameter is the longest.

Answers

Answer:

A diameter is the longest chord of a circle.

Find the value of x.

Answers

Answer:

x=60º

Step-by-step explanation:

Answer: x=60º

180º-60º=120º

2x=120º

divide by 2 on both sides

x=60º

A company makes electronic components for TV's. 0% pass final inspection. 110 components are inspected in one day. What is the expected value of the number that fails inspection in one day?



a.
0

b.
110

c.
100%

d.
11


Please can you help me please don’t send for me link !

Answers

Answer:

C

Step-by-step explanation:

A line passes through point (4,-2) and has a slope of -5/4 in
Ax+By=C PLEASE

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-\cfrac{5}{4}}(x-\stackrel{x_1}{4})[/tex]

[tex]y+2=-\cfrac{5}{4}x+5\implies \stackrel{\textit{multplying both sides by }\stackrel{LCD}{4}}{4(y+2)=4\left( -\cfrac{5}{4}x+5 \right)}\implies 4y+8=-5x+20 \\\\\\ 5x+4y+8=20\implies 5x+4y=12[/tex]

Based only on the information given in the diagram, it is guaranteed that
ARST - AUVW
5
067
R
Л
w
A. True
B. False

Answers

Answer: True

Step-by-step explanation:

There are two pairs of congruent angles, meaning the triangles are similar by AA.

It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.

What are Similar triangles?

Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;

∠R=∠U    [measure is 67°]

∠T=∠W    [measure is 90°]

Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.

Learn more about similar triangles here:

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A number cube has side lenghts of 1 1/4 inches. What is the volume, in cubic inches, of the number cube?

Answers

answer:V≈1.95 in

explanation:(3)= cubed

V=a(3)=1.25(3)≈1.95313



If the volume of the pyramid is 12 cubic inches,
what is the height of the pyramid, in inches?

Answers

Answer:

6

Step-by-step explanation:

h=3(12/6)

The volume of a rectangular prism is 200 cubic inches. If the area of the base is 20 square inches, what is the height of the prism?

Answers

Step-by-step explanation:

volume of rec. prism = area base × height

200 = 20 × height

height = 10 inch

Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located closer to Carolyn. Is this true or false?

True
False

Answers

Answer:

it is False

Step-by-step explanation: i also did this test

can anyone tell me what (4 times a number is at least -12) i need help.

Answers

Answer:

-3

Step-by-step explanation:

4 times a number is at least -12

Substitute the missing number for x.

4x = -12

4x/4 = -12/4

x = -3

4 times -3 is at least -12.

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

[tex]4x\geq -12\implies x\geq-3[/tex]

Step-by-step explanation:

At Mr. Donald's farm, there are 35 chickens and 50 cows. What is the ratio of the number of cows to the number of chickens at Mr. Donald's farm?

Answers

Answer:

the ratio is 50:35 or 50 to 35 or 50/35

Step-by-step explanation:

The times taken to assemble a clock at a factory are approximately normally distributed with a given mean Mu = 3 hr and standard deviation Sigma = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?
34%
47.5%
68%
95%

Answers

Answer:

It's D) 95%

Step-by-step explanation:

It's the correct answer

The percentage of the times are between 2 hours and 4 hours is 45.5%.

What is standard deviation?

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Given that, μ=3 hour, σ=0.5 and x1=2 hours and x2=4 hours.

We know that, Z=(x-μ)/σ

Here, Z1=(2-3)/0.5

Z1=-2 = -0.2275

Z2=(4-3)/0.5

Z2=2 = 0.2275

= 0.2275-(-0.2275)

= 0.2275+0.2275

= 0.455

= 45.5%

Therefore, the percentage of the times are between 2 hours and 4 hours is 45.5%.

Learn more about the standard deviation visit:

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can anyone help me find x, please?​

Answers

Answer:

86°

Step-by-step explanation:

Two sides of the triangle are equal

=> ∠A = ∠C

And since ∠A = 47°

=> ∠C = 47° & ∠B = x°

Now, according to Angle sum property of a triangle

=> ∠A + ∠B + ∠C = 180°

=> 47° + x + 47° = 180°

=> 94° + x = 180°

=> x = 180 - 94 = 86°

Therefore x = 86°

HHHEEELLLPPP MMMEEE PLEASE.
Given the equation y = -3x + 1/2 , what is the y-intercept?

-3
1/2
-1/2
3

Answers

Answer:

1/2

Step-by-step explanation:

C, 1/2

Step-by-step explanation:

Use the equation y = mx + b,

b is the y-intercept

m represents the slope

-3 = slope

1/2 = y-intercept

1/2 is your answer

hope this helps :) and that i got it right this time lol

Two angles of a triangle measure 37º and 54° respectively. Is this triangle acute, right or
obtuse?

Answers

Hello! I believe the answer you are looking for is acute.


the sum of interior angles for a triangle is 180°

so 54°+37°+x°=180

x=89°

since x does not equal 90° or above it is acute. (90° would make it a right triangle and larger than that would make it obtuse)

the midsegment of the trapezoid is RT. set up and equation and solve for x

Answers

Step-by-step explanation:

since it is the midsegment, all involved and related line segments follow the 1/2 factor.

so, the length of the midsegment is precisely in the middle between the lengths of the top and bottom lines.

in the first drawing

22 = x + (x - 10)

22 = x + x - 10

32 = x + x = 2x

x = 16

in the second drawing

x = 15 + (15 - 8) = 15 + 7 = 22

Convert (87.1352) 10 to base 8

Answers

Answer:

It comes out to around 127

Step-by-step explanation:

Mr. Rodriguez is assembling supply kits for his students. He has 24 pencils and 32 erasers. All the kits must have the same number of each item, and all items must be used.
Check your work on Zearn.
1. What is the largest number of kits Mr. Rodriguez can make?
The largest number of kits Mr. Rodriguez can make is
kits.

2. How many pencils and erasers will be in each kit?
pencils and
erasers will be in each kit.

Answers

Answer:

1) 8

2) 3pencils 4erasers

Step-by-step explanation:

What is the value of x?

The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.

Answers

Answer: 4

Step-by-step explanation:

The length of QR(x) from the given figure is 4 units.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given figure, QR=x, RS=2√3 units and ∠STR=60°.

We know that, sinθ= Opposite/Hypotenuse

sin60°=2√3/RT

√3/2=2√3/RT

RT=4 units

As we know, tanθ= Opposite/Adjacent

tan45°= x/4

1= x/4

x=4 units

Therefore, the length of QR(x) from the given figure is 4 units.

Learn more about the trigonometric ratios here:

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Which of the following logarithmic equations is equivalent to the exponential
equation below?
e^x = 15.29

Answers

Answer:

Step-by-step explanation:

Natural log and the number 'e' are inverse to each other. Therefore, if you take the natural log of both sides, the exponential cancels and leaves 'x' isolated:

[tex]ln(e^x)=ln(15.29)[/tex]

[tex]x=ln(15.29)[/tex]

Let's solve for x

e^x=15.29

So natural logarithm on both sides

[tex]\\ \rm\Rrightarrow x=ln(15.29)[/tex]

[tex]\\ \rm\Rrightarrow x=2.73[/tex]

What is the answer to 8 7/9 + 5 9/11

Answers

Answer: 14.596

Step-by-step explanation:

Hope this Answer Helps! if it helped please leave brainliest

Is {(1,3),(2,4),(3,7),(4,13 )} a function?

Answers

Answer:

Yes

Step-by-step explanation:

The X of all the points show that it is a function because none of the X values are repeating.

Yes
What the man on top said ^

The seasonal demand for a particular product is given below: Period 1 2 3 4 5 6 Demand 300 450 100 450 450 100 The fixed parameters are: Fixed Cost $8 Unit Production Cost $1 Holding Cost $ 1.3 Calculate total ordering cost using following three methods: i) Lot-for-Lot ii) Wagner-Whitin algorithm iii) Fixed order quantity​

Answers

The ordering cost using the Lot-for-Lot method is 900.06.

How to calculate the cost?

The ordering cost using the Lot-for-Lot method will be calculated thus:

C = Q/2(H) + D)Q(S)

C = 450/2(4) + 100/450(3)

C = 450(2) + 30/45

C = 900 + 0.7

C = 900.7

The ordering cost using Wagner-Whitin algorithm will be:

= 300 + 900 + 300 + 1700 + 2150 + 600

= 5750

The ordering cost using fixed order quantity will be:

= 6/(300 + 450 + 100 + 450 + 450 + 100)

= 6/1850

= 0.00324

Learn more about cost on:

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