Question

A communications tower is located at the top of a steep hill, as shown. A guy-wire is to be attached to the top of the tower and to the ground, 165 m downhill from the base of the tower. The height of the tower is 80 m, how long is the guy-wire?

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Answer 1

Sine's Law

`\tt (80)/(sin~16)=(165)/(sin~B)\rightarrow B=34.65^o\\\\C=180^o-(34.65+16)^o=129.35^o\\\\(AB)/(sin~129.35)=(80)/(sin~16)\rightarrow AB=224.44~m`