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3 years ago

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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

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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