A boat is heading towards a lighthouse, where Meena is watching from a verticaldistance of 120 feet above the water. Meena measures an angle of depression to theboat at point A to be 18. At some later time, Meena takes another measurement andfinds the angle of depression to the boat (now at point B) to be 44. Find the distancefrom point A to point B. Round your answer to the nearest foot if necessary.

A boat is heading towards a lighthouse, where Meena is watching from a vertical
distance of 120 feet above the water. Meena measures an angle of depression to the
boat at point A to be 18º. At some later time, Meena takes another measurement and
finds the angle of depression to the boat (now at point B) to be 44º. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.

Answers

Answer 1

Answer:

245 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle in which Meena's height is the side opposite the angle of depression, and the distance to the boat is the side adjacent to the angle of depression. The mnemonic SOH CAH TOA reminds us of the relation ...

Tan = Oppsite/Adjacent

The more useful trig function for this problem is the inverse of the tangent function, the cotangent. Using that function, we have ...

cot(angle) = (distance to boat)/(Meena's height)

Then the distance to the boat is ...

distance to boat = (Meena's height)×cot(angle)

The change in distance from A to B is then ...

A -B = (120 ft)(cot(18°) -cot(44°))

= (120 ft)(3.0777 -1.0355) ≈ 245.06 ft

The distance from point A to point B is about 245 feet.

A Boat Is Heading Towards A Lighthouse, Where Meena Is Watching From A Verticaldistance Of 120 Feet Above

Related Questions

Find the sum of the first 150 positive even integers.

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Answer:

22650

Step-by-step explanation:

Meera and Ben saved some money. 3/5 of Meera’s money are twice the money of Ben’s. Whats the new rapport between them?

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Answer:

David used 1/2 of apple juice for every 1/4 cup of cranberry juice to make a fruit drink

The value of x is - 1/4 . Order these expressions from least to greatest:

x
1 − x
x − 1
- 1 ÷ x
Your answer:

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-1 divided by x
1 - x
X - 1

What is the slope of
the line?

Answers

Slope = y/x

There’s a point at (2,5). X =2 and y= 5

So 5/2 = 2.5

Solve the following inequality for x X - 9. 2 (9-×)

Answers

Xx-9.2(9-x)
-x 9.2 (9-x)
-X x 9.2 x 9x9.2 (-x)
-Xx9.2 + x 9.2 x
-82.8x + 9.2 x2 is exponent

Use the fact that f(x)=sqrt x is increasing on its domain to solve the inequality: sqrt (3x+1) > sqrt (x-5)

Answers

Since √(3x+1) and √(x-5) is always positive, you can square out both sides.

[tex] \sqrt{3x + 1} > \sqrt{x - 5} \\ {( \sqrt{3x + 1}) }^{2} > {( \sqrt{x - 5} )}^{2} \\ 3x + 1 > x - 5 \\ 2x > - 6 \\ x > - 3[/tex]

Since substituting x = -2, -1 , ... , 4 into √(3x+1) and √(x-5) will result into complex solutions,

Therefore,

[tex]x > 4[/tex]

Answer:

-3<x≤5

Step-by-step explanation:

√(3x+1)>√(x-5)

Square each one of the square roots. Then create 3 different inequality expressions and solve them/

1. 3x+1>x-5= x>-3

2. 3x+1≥0= x≥-1/3

3. x-5≥0= x≥5

From here I'm going to take the values that cover the most of the area in this expression which should be -3<x≤5.

a)find the value of angle x
b) work out the value of angle y

Answers

The value of X is 69 while value of y is also 69

Pls help math will give brainlest

Answers

Answer:

Rectangular prism)1344

Rectangular pyramid)138.53

Cylinder)326.73

Cone)400.21

Triangular prism) I don't know the answer because I can't tell what sides the length is for

Please answer!!!!! What is the probability that the dart will NOT land in the shades region?

Answers

Use circumference formula = pi*r^2

Total area = 6^2pi= 36pi = 113.04
Unshaded area = 4^2pi - 2^2pi = 16pi - 4pi= 50.24- 12.56 = 37.68
Shaded area = 113.04-37.68= 75.36

37.68/113.04= 0.333 ~~ 33%

Which choice is equivalent to the expression below?

√-81

A. √9i

B. i√9

C. 9i

D. -9

E. -√9

Answers

Answer:

Step-by-step explanation:

Remark

√-81 breaks down to two roots

√81 = 9√-1 = i

Solution

√-81 = i9

Answer

The diameter of a circle is 13 meters. Complete the description for how you would find the circumference.

Answers

Answer:

Step-by-step explanation:Formula

The circumference of a circle is given by C = pi * d

Givens

pi = 3.14

13 is the diameter.

Solution

C = 3.14 * 13

Answer: C = 40.82

Answer for the blanks.

pid

Pls help me as fast as possible and pls only right answers

Answers

The expressions are algebraic expressions that uses a, t, w, b, n and x as its variables

How to express them as verbal expressions?

To do this we make use of the following terms

Difference represents subtractionSum represents additionProduct represents multiplicationQuotient represents division

Using the above highlights, we have the verbal expressions to be:

The square of a number, n is 36The sum of a number, n and 10 is 37Twice a number nThe quotient of 18 and 6The square of a number, n The sum of a number, n and 12The difference between a number, b and 7The difference between 13 and 8The difference between 13 and a number, nThe sum of a number, t and 10 is 24The sum of 12 and 8Eight times a number nThe fifth power of a number, w is 7Twice a number nThe difference between a number, n and 6 is 37The difference between 24 and 16The difference between a number, x and 6 is 14The difference between a number, n and 3 is 9The cube of a number, x is 9Half a number n4 exponent a is 9The ninth power of a number, n is 48

Read more about algebraic expressions at:

https://brainly.com/question/723406

Cassandra is inscribing a square in the circle shown below, but is having difficulty remembering the process.
Which of the following summaries describes the basic process for inscribing a square in the above circle?
A.
Create the perpendicular bisector of AB. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
B.
Create the perpendicular bisector of BC. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
C.
Set the compass width to the length of BC, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
D.
Set the compass width to the length of AB, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.

Answers

Answer:

B. Create the perpendicular bisector of BC. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.

Step-by-step explanation:

The table shows some ordered pairs that belong to project function H what is the range of H

PLEASE HELP ASAP WILL MARK BRAINIST ONLY IF YOUR RIGHT THOO

Answers

Last one , because you can see h go down until -5 then starts going up again for every x. Must be a parabola with vortex at y=-5.

Note down

If a pair be (x,y)

Then

x is domainy is range

Here the pairs are

(-6,43)(-5,22)(-4,7)(-3,-2)(-2,-5)(-1,-2)

Range:-

{-2,-5,-2,7,22,43}

I have 10 books, 3 of which are good. If I randomly select a book at random, what's the probability that it is not good?

Answers

answer:

the probability of selecting a book that is not good would be:
7/10

show that the derivative of an odd function is even function and viceversal

Answers

Step-by-step explanation:

Well, it's hard to generalize this. But I can show you a few examples using the power rule and some derivatives of trig functions. Lets say we have a function:

[tex]f(x) = {x}^{n} [/tex]

Then you should know it's derivative is:

[tex] \frac{df}{dx} = n {x}^{n - 1} [/tex]

For polynomial functions, a subtraction of 1 from the exponent will turn any odd function into an even, and any even function to an odd. An example of this is x^3, which is odd. The derivative is 3x^2, which is even. Another example, this time of a trig function, is sine and cosine. Sine is odd, while cosine is even. The derivative of sine is cosine, and the derivative of cosine is negative sine.

Macy has $3 in her piggy bank. If this is 10% of her monthly allowance, what is her monthly allowance

Answers

.3 or 30 cents. you have to move the decimal place one to the left since it’s 10%

Find the value of x.
103°
10x - 7)º
x = [?]°
Enter

Answers

Answer:

11º

Step-by-step explanation:

Because of vertical angles: 103=10x-7

103+7=10x

110=10x

x=11º

PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?

Answers

It’s 0.25 if it’s wrong then I’m also sorry

What is the sum of 13/20 and 20/40?

Answers

Answer:

46/40, or 1 3/20

Step-by-step explanation:

given:

[tex] \frac{13}{20} + \frac{20}{40} [/tex]

to find:

the sum of the two fractions.

solution:

first find the LCM of the two denominators and rename the fractions with a common denominator atlast, add and simplify.

[tex] \frac{(13 \times 40) + (20 \times 20)}{20 \times 40} [/tex]

[tex] = \frac{520 + 400}{800} [/tex]

[tex] = \frac{920}{800} [/tex]

Reduce by dividing both the numerator and denominator by the Greatest Common Factor which is 40.

[tex] \frac{920 \div 40}{800 \div 40} = \frac{23}{20} [/tex]

[tex] = 1 \frac{3}{20} [/tex]

What is the term that describes how far the function rises above or below it's midline?

Period

Frequency

Amplitude

sine function

Answers

The term which defines how far a function rises or fall relative to its midline is; The Amplitude.

What is the term that describes rise or fall relative to the midline?

In some functions such as trigonometric functions in which case, the graph oscillates and hence, rises above or below a midline, the distance above or below the midline of such functions is described by the term amplitude.

Answers

Using proportions, supposing that 30% of the tiles are purple, it is found that the value of x is of x = 16.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the ratio of purple tiles to white tiles is given by:

[tex]\frac{2x + 1}{4x + 13}[/tex]

We consider that 30% of the tiles are purple, hence 70% are white, which means that:

[tex]\frac{2x + 1}{4x + 13} = \frac{3}{7}[/tex]

Applying cross multiplication:

14x + 7 = 12x + 39

2x = 32

x = 16.

The value of x is of x = 16.

More can be learned about proportions at https://brainly.com/question/24372153

Enter the measure of ∠TOM, in degrees. (Enter just the number)

Answers

Answer: 150

Step-by-step explanation:

We know (5x-15)+(2x)=90 degree

so we can solve x = 15

plug in 5(15) - 15 = 60

60 + 90 = 150

Answer:

150

Step-by-step explanation:

m∠TOG = m∠TOP + m∠POM + m∠MOG

m∠TOG = 180°

m∠TOP = 90°

m∠POM = (5x - 15)°

m∠MOG = (2x)°

90 + ( 5x - 15 ) + 2x = 180 ⇒ 5x - 15 + 2x = 90 ⇒ x = 15

m∠TOM = 90° + m∠POM

m∠TOM = 90° + (5×15 - 15)° = 150 °

The age in Australia has a normal distribution with a mean 45 years and standard deviation 11 years. The children are classified as the youngest 33% of population. At what age do children become adults in Australia
20
30
40
50

Answers

Answer:

40 y/o

Step-by-step explanation:

33% is a z-score of -.44

-.44 standard deviations

45 - .44(11) = ~40 y/o Seems an odd answer !

he table shows the heights of students in a group.

Student Height (in inches)
A 45
B 48
C 49
D 40
E 53

What is the mean height of the students in the group?
47 inches
49 inches
51 inches
53 inches

Answers

Answer:

47 inches

Step-by-step explanation:

45 + 48 + 49 + 40 + 53 = 235

235/5 = 47

It would be 47 inches mean because you add them all together, and then divide it by the amount you had, which its five different numbers, so thats what you would use to divide. So all the numbers added up would be 235 and then divided by 5 is 47 .

Help help math math math

Answers

Answer:

i think this is right i hope it helped :)

Step-by-step explanation:

5m - 8 = 2m + 1

5m + 2m - 8 = 1

7m - 8 = 1

7m = 7

m = 1

Answer:

m = 3

Step-by-step explanation:

5m - 8 = 2m + 1

5m - 2m = 1 + 8 { like terms }

3m = 9 { crossing over }

m = 3

A county fair charges $5 for tickets and $2 for each ride. What is the y-intercept in this scenario, where y represents the total cost and x represents the number of rides ridden?

7

3

5

2

Answers

Answer:

y=2x+5

y-intercept⇒x=0

y=2(0)+5 = 5

the answer is 5

hope this helps :)

help pls i'm not good at math

Answers

Answer: x = 56

Step-by-step explanation:

The two angles 'z' and 124 add up to form a straight line. The angle of a straight line is 180 degrees. Therefore, we can say that:

[tex]z+124=180[/tex]

Subtract 124 on both sides to isolate the angle 'z' to get:

[tex]z=56[/tex]

Answer:

z=56 degrees

Step-by-step explanation:

in total the line will equal 180 so just do 180-124 and you get 56.

solve this sum in B,O,D,M,A,S formula.

1. 21 -12 ÷ 4 -3 ×(-7)
2. 30 -{8÷(2×3-4)

explain with using formula

Answers

Answer:

2. 26

Step-by-step explanation:

start with the brackets with 2×3-4 get the answer as 2 then divide 8 by the answer then subtract the answer you've got from 30

Sketch a generic rectangle to represent the product 3(x+2). Then write an equivalent expression

Answers

Answer:

3x +6

Step-by-step explanation:

The rectangle representing the product 3(x+2) will have dimensions 3 and (x+2). It can be divided into portions with areas 3·2 = 6, and 3·x = 3x.

An equivalent expression is ...

3x +6

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