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-BARSIC- [3]
3 years ago
12

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 t

o make an angle of 31 with the ground

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

343.66m

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,

Sin \alpha = \frac{|BC|}{|BD|}

Sin 31 = \frac{177}{|BD|}

Cross multiplying

|BD| X sin 31 = 177\\|BD|=\frac{177}{Sin 31} =343.66m

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