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?

A communications tower is located at the top of a steep hill as shown A guywire is to be attached to the top of the tower and to the ground 165 m downhill from class=

Respuesta :

Sine's Law

[tex]\tt \dfrac{80}{sin~16}=\dfrac{165}{sin~B}\rightarrow B=34.65^o\\\\C=180^o-(34.65+16)^o=129.35^o\\\\\dfrac{AB}{sin~129.35}=\dfrac{80}{sin~16}\rightarrow AB=224.44~m[/tex]