Question

A radio transmission tower is 579 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23° with the ground? How many feet long shouldthe guy wire be? Round your answer to the nearest foot and do not write the units.

Answer 1

The Solution:

Representing the problem in a diagram, we have

We are required to find the value of x in the diagram above.

By Trigonometrical Ratio, we have

`\sin 23^o=(573)/(x)`

Cross multiplying, we get

`x\sin 23=573`

Dividing both sides by sin 23, we get

`x=(573)/(\sin23)=1466.48\approx1466\text{ }`

Therefore, the correct answer is 1466.