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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]3 years ago
3 0

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>

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