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37. A moving boat is observed from the top of a 150 m high cliff, moving away from the cliff. The angle of depression of the boat
changes from 60° to 45° in 2 minutes. Find the speed of the boat.
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the distance of boat from cliff when angle of elevation is 60° by taking tan60 = height of cliff /distance between boat and cliff it is found that it is
50root3
now in the same way taking angle of elevation as 45°find distance of boat when it is 45 °from the cliff. on finding distance = 150 m
now find the distances between two position of boats
which is. 150 - 50root3
= 50(3 -1.732) = 63.4
the boat travels 63.4 m in 2 min or 120 sec
speed of boat = distance / time itis wanted m/hr
answer should be multiplied by 3600
=63.4×3600/120 =1902 m/hr
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