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.

1837.30 m

Step-by-step 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