A radio transmission tower is feet tall. How long should a guy wire be if it is to be attached feet from the top and is tomake a

Question

Firdavs [7]

3 years ago

15

A radio transmission tower is feet tall. How long should a guy wire be if it is to be attached feet from the top and is tomake a

n angle of with the ground

Mathematics

1 answer:

Bond [772] · Answer 1 · 2022-07-10T12:26:02+03:00

Answer:

<em> Length of guy wire is 590.6 ft</em>

Step-by-step explanation:

The complete question is

A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.

height of tower = 210 ft

8 ft fro the top leaves 210 - 8 = 202 ft to the ground

This is an angle of elevation problem

the opposite is 202 ft

hypotenuse = ?

angle is 20°

using sin ∅ = opp/hyp

sin 20° = 202/hyp

0.342 = 202/hyp

hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>