9514 1404 393
Answer:
267.9 m
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.
tan(15°) = height/(1000 m)
height = (1000 m)tan(15°)
height ≈ 267.9 m
The cliff is about 267.9 meters tall.
