9514 1404 393
Answer:
179 ft
Step-by-step explanation:
The applicable trig relation is ...
Tan = Opposite/Adjacent.
The height of the lighthouse is the opposite side of the right triangle. The adjacent side to the angle of elevation from the boat is the distance to the lighthouse base. Then ...
tan(50°) = height/(150 ft)
height = (150 ft)(tan(50°)) ≈ 178.76 ft
The height of the lighthouse is about 179 feet.
