Question

A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is to make an angle of 31 with the ground

Answer 1

`343.66m`

Explanation:

Consider the diagram attached

|AC| is the length of the radio transmission tower

If the wire is attached 13 feet from the top, at point B, |BC|=177cm and the wire is attached at point D on the ground

In Triangle BCD,

`Sin \alpha = (|BC|)/(|BD|)`

`Sin 31 = (177)/(|BD|)`

Cross multiplying

`|BD| X sin 31 = 177\\|BD|=(177)/(Sin 31) =343.66m`