A man in a boat rowed away from a cliff 50 m high It takes 2 minutes to change the elevation at the top of the cliff from 60∘ to 45∘ The speed of the boat is
9−3√32km/h
9+3√22km/h
9√32km/h
9√3km/h
A
9−3√32km/h
B
9+3√22km/h
C
9√3km/h
D
9√32km/h
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Solution
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The correct option is A9−3√32km/h tan60∘=150y or √3=150y ∴y=150√3 tan45∘=150x+y or x+y=150 ∴x=150−150√3 Distance travelled in 2 min=150−150√3m ∴Speed=150√3−150√3×30 =150(√3−1)×301000√3 km/h =9−3√32 km/h
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