SOLUTION: A television transmitter tower is 400 feet high. If the angle between the guy wire (attached at the top) and the tower is 54.4°, how long is the guy wire? feet

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Question 1123574: A television transmitter tower is 400 feet high. If the angle between the guy wire (attached at the top) and the tower is 54.4°, how long is the guy wire?

feet


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A television transmitter tower is 400 feet high.
If the angle between the guy wire (attached at the top) and the tower is 54.4°, how long is the guy wire?
:
You can see this is a right triangle where the guy wire is the hypotenuse (h), the two legs are the tower and the dist from the tower to the guy anchor
:
Use the sine of the angle: side opposite/hypotenuse
sin(54.4) = 400%2Fh
h = 400%2Fsin%2854.4%29
h ~ 492 ft