Answer:
[tex]343.66m[/tex]
Step-by-step 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,
[tex]Sin \alpha = \frac{|BC|}{|BD|}[/tex]
[tex]Sin 31 = \frac{177}{|BD|}[/tex]
Cross multiplying
[tex]|BD| X sin 31 = 177\\|BD|=\frac{177}{Sin 31} =343.66m[/tex]