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

Respuesta :

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]

Ver imagen Newton9022