9514 1404 393
Answer:
55.5 ft
Step-by-step explanation:
In the attached diagram, PH = 50 represents the distance from point P to the house. The length of HT represents the height to the top of the house. The angle at P is the angle of elevation. That angle is adjacent to PH and opposite HT. This means the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(48°) = HT/(50 ft)
HT = (50 ft)tan(48°) ≈ 55.53 ft
The height of the house is about 55.5 feet.
