Question

A radio transmission tower is 170 feet tall. how long should a guy wire be if it is attached 15 feet from the top and is to make a 27 degree angle with the ground.?

Answer 1

The image of the given scenario is attached below.

A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.

Using the formula of sine, we can write:

$sin(27)= \frac{155}{x} \\ \\ x= \frac{155}{sin(27)} \\ \\ x=341$

Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.