Question

From the top of a rock ledge 291 m high, the angle of depression to a boat is 9 degres . If the boat is d m from the foot of the cliff find d correct to 2 decimal places.

Answer 1

1837.30 m

Explanation:

The tangent of the angle of depression is the ratio of cliff height to d:

tan(9°) = (291 m)/d

Multiplying by d/tan(9°), we find ...

d = (291 m)/tan(9°) ≈ 1837.3017 m

d ≈ 1837.30 m