Question

from the top of the cliff 80 metres high, a man observers the angle of depression of a boat to be 30°, determine the distance of the boat from the foot of the cliff.​

Answer 1

Angle of Depression = 30°

Height of cliff = 80m

tan 30° = Height of cliff / distance of cliff from boat

1/√3 = 80 / distance of cliff from boat

Distance of cliff from boat = 80√3

                                           = 80 x 1.732

Therefore, Distance of boat from the cliff = 138.56 m

Thus, distance of boat from the foot of the cliff is 138.56m.

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