Answer:
28.8 ft
Step-by-step explanation:
SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
The height to the top of the antenna is opposite the angle of elevation, and the distance to the building is adjacent. So, we have ...
tan(58°) = (160 ft +antenna height)/(118 ft)
(118 ft)·tan(58°) = 160 ft + antenna height . . . . . . . multiply by 118 ft
188.8 ft - 160 ft = antenna height = 28.8 ft . . . . . . subtract 160 ft, evaluate
The height of the antenna is 28.8 ft above the top of the building. (The total height of building + antenna is 188.8 ft.)
