A support wire is attached to the top of an antenna. The support wire connects
to the ground 15 feet from the bottom of the antenna. The support wire and the
ground meet at an angle with measure 70°, as shown.
Antenna
70°
15 ft-
To the nearest foot, what is the height of the antenna?
The antenna is
feet tall.

A Support Wire Is Attached To The Top Of An Antenna. The Support Wire Connectsto The Ground 15 Feet From

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The antenna height is 41.23 feet if the support wire is attached to the top of the antenna.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet from the bottom of the antenna.

Let x be the height of the antenna.

We can find the length of the antenna using the trigonometric ratios:

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Applying tan ratio in the right angle triangle:

tan70 = x/15

x =15tan70

x = 41.212 feet  ≈ 41.23 feet

Thus, the height of the antenna is 41.23 feet if the support wire is attached to the top of the antenna.

Learn more about trigonometry here:

brainly.com/question/26719838

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Related Questions

The temperatures for the week were as follows Sunday 72 Monday 72 Tuesday 85 Wednesday 69 Thursday 72 Friday 80 and Saturday 77 determine the mean rounded to the nearest tenth median mode and range of the results

Answers

Answer:

Mean- 75.3

Median- 72

Mode- 72

Range- 77

Step-by-step explanation:

27 is 45% of what number?

Answers

Answer:

60%

Step-by-step explanation:

The first step is to divide 27 by 45 to get the answer in decimal form:

27 / 45 = 0.6000

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.6000 * 100 = 60.00%

60

Step-by-step explanation:

If you take 45 percent of a number and get 27, then what is that number? In other words, you know that 45 percent of a number is 27 and you want to know what that initial number is.

To solve this problem you multiply 27 by 100 and then divide the total by 45 as follows: (27 x 100) / 45

When we put that into our calculator, we get the following answer:

60

Therefore, the answer to "27 is 45 percent of what number?" is 60, and you can also derive that 45 percent of 60 equals 27.

Hope it helps

Have a good day!

Hey, guys, I did help. So I'm making my own video game for a science project and I need help coming up with my own video game. What should my video game be like? Make it simple. Also please don't report me because I'm doing this for a science project.

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Who is the video game for? If its for gamers, make it something that a gamer would like. If its for people who need help with studies, make it educational. It all depends on the audience ;)

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Use the information to answer the question.
The graph of a linear system is shown
9
8
7
6
3
21
910
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
SRESET
Jasmine McElroy, ID#***11
Growth: Math 6+ CA 2010
Question # 33

Answers

Answer:

(2, 7)

Step-by-step explanation:

The answer is (2,7)
you find the answer by finding where the two lines meet

Need help asap under 3 mins

Answers

Answer:

takai korokomi

Step-by-step explanation:

shimaki

Evaluate the expression for x = -2, y = 3, and a = -4

5x-6y-3a ​

Answers

Hey there!

5x - 6y - 3a

= 5(-2) - 6(3) - 3(-4)

= -10 - 18 - 12

= -28 - (-12)

= -28 + 12

= -16

Therefore, your answer is: -16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Please help quickly
The equation of the straight line having a gradient m and passing through (0,0) is? ​

Answers

Answer:

y=mx

because line is passing through origin ,so y intercept is 0.

General equation of a line is given as y=mx+c where m=slope of the line.

what is the length of the x component of the vector shown below

Answers

Answer:

D

Step-by-step explanation:

x=8*cos(34°)=6.632≈6.6

(20 POINTS, RIGHT ANSWER ONLY PLEASE)
What value is needed to prove the triangles are similar by SAS~?

Answers

they both have the same degrees on each angle

Which numbers are perfect squares: 64, 15, 26, 100

Answers

Answer:

15

Step-by-step explanation:

Answer:

64 and 100 are perfect square roots

Step-by-step explanation:

CAN SOMEONE PLEASE HELP!!! IM GONNA FAIL, ILL GIVE U BRAINLIST
What are the coordinates of F after a reflection over the line y=1? Give your answer in the format (#,#)

Answers

(-1,7) is the answer I think

Answer:

So for the coorfinates of F, you have to see how far it is from y=1. The F is 2  points under the 1 so you have to count 2 above the 1. So the point would be (7,3). Same for the other ones. For example like D. It's 2 above 1 so its going to be 2 under which would result in (1, -1)

Please help! I neeeeeeeeeeeeddddddddd HELP!

Answers

Answer:

probably 400 its closest to what i got

Step-by-step explanation:

it’s definitely 400!!

Write the following terms as a product of prime factors.
12m²n^3 =
18m^3n =

Answers

Writing the terms as a product of prime factors; we have;

12m²n³ = 2 × 2 × 3 × m × m × n × n × n

18m³ n = 2 × 3 × 3 × m × m × m × n

According to the question:

We are required to write the following terms as a product of prime factors.

Prime numbers are numbers which are only divisible by themselves and the integer 1.

The prime factors of 12m²n³;

12m²n³ = 2 × 2 × 3 × m × m × n × n × n

The prime factors of 18m³n;

18m³n = 2 × 3 × 3 × m × m × m × n.

Read more:

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answeeeeerrrr plzzzzzzzzzz

Answers

Answer:

30

Step-by-step explanation:

(3×30+15) = 105

uses the alternate exterior angles theorem

Answer is 30

3x30+15=105

Please help ASAP!!!!!!!!!

Answers

Answer:

£72

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] of 96 = 48

There are 48, £1 coins = £48

There are 48, 50p coins = 48 × £0.5 = £24

Total value of 96 cins = £48 + £24 = £72

Answer:

£72

Step-by-step explanation:

please mark brainiest

Can someone pls help me out

Answers

Answer:

The answer is 8.

Step-by-step explanation:

If you multiply each of the measurments by 1.5 they equal the measurments on the larger trapazoid. I can't see the full question but im assuming It's asking for the measurment (2x-16). So 12 divided by 1.5 equals 8. And to get eight you replace x with 4. Hope I helped. :)

[tex]\\ \sf\longmapsto \dfrac{2x-16}{12}=\dfrac{12}{18}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x-8}{6}=\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 3(x-8)=12[/tex]

[tex]\\ \sf\longmapsto 3x-24=12[/tex]

[tex]\\ \sf\longmapsto 3x=36[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

And ice cream company feels containers with 64 oz of ice cream the acceptable percentage of error and filling each ice cream container is 1.5% select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold

Answers

Hold times 2 2 more ice cream dived by 3 the answer is 26x6

You and a friend get food you have $100 the food 60.85 and the tax is $8 and you wanna leave a 20 tip how much money will you have left
over?

Answers

Answer:

11.15$

Step-by-step explanation:

60.85+8+20= 88.85

100-88.85=11.15

Please <3 my Answer B )

Which of the following are valid names for the given triangle? Check all that apply

Answers

Step-by-step explanation:

i think the answer is c MAX

The ratio of girls to boys in a swimming club was 1:4. There were 10 girls. How many
boys were there in the club?

Answers

Answer:

40 boys

Step-by-step explanation:

The 1 part of the ratio refers to 10 girls and represents 1 part , then

4 parts = 4 × 10 = 40

There are 40 boys in the club

the answer above is correct

find the slope thnks

Answers

the slope is 5/3

hope this can help !! :)

HELP ME PLEASE What is 6,728 ÷16

Answers

Answer:

420.5 or 420 1/2

Step-by-step explanation:

PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!

Find the direct variation.

if y=28 when x= 168, find y when x =108.

Answers

Answer:

18

Step-by-step explanation:

168 : 28 : : 108 : y

168 / 28 = 108 / y

6 = 108 / y

6 * y = 108

y = 108 / 6

y = 18

Answer:

y = 18

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 28 when x = 168

28 = 168k ( divide both sides by 168 )

[tex]\frac{28}{168}[/tex] = k , that is

k = [tex]\frac{1}{6}[/tex]

y = [tex]\frac{1}{6}[/tex] x ← equation of variation

When x = 108 , then

y = [tex]\frac{1}{6}[/tex] × 108 = 18

ILL GIVE BRAINLIST !!!!!!!

Answers

What did you partner think? i will answer in comments

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Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.


Graph of two lines. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2.


3

one third

negative one third

−3

Answers

f(x)

(2, 0) and (3, 2)

m = y - y1

x - x1

m = 2 - 0

3 - 2

m = 2

y - y1 = m(x - x1)

y - 0 = 2(x - 2)

y = 2x - 4

f(x) = 2x - 4

g(x)

(2/3, 0) and (1, 2)

m = y - y1

x - x1

m = 2 - 0

1 - 2/3

m = 6

y - y1 = m(x - x1)

y - 2 = 6(x - 1)

y = 6x - 4

g(x) = 6x - 4

since both equations are linear that means the graphs will be straight lines with y-intercept being -4 for both of the graphs.

if,

g(x) = f(k*x)

f(x) = 2x - 4

f(k*x) = 2k*x - 4

6x - 4 = 2k*x - 4

6x = 2kx

6 = 2k

k = 3.

I hope the answer is correct. All the best!

1 example of factoring sum of two cubes

Answers

7^3+8^3=(7+8)(7^2−(7*8)+8^2)

               (15)(49-56+64)

                (15)(57)

7^3+8^3=855

between what two whole numbers is the cube root of 10

Answers

Answer:

2 and 3

Step-by-step explanation:

cube root of 10 is equal to 2,15443469

so this number is between 2 and 3

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Step-by-step explanation:

You just add the 6cm and 86 celsius and the answer of 6cm and 86 celsius and you can multiply the 32 celsius and what is the answer is that the answer

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I NEED THIS NOW PLEASE SOMEONE GIVE ME A CORRECT AWNSER

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Answer:

25

Step-by-step explanation:

please help me on this question ASAP
i need it dont by midnight and its already 10:30.

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Answer:

a) 3(17 )+ 4(9) = 81

b) 13.5m/s^2

Step-by-step explanation:

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