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Question

A boat which has a speed of 5 ms1 in still water crosses the river of width 25 m in 10 seconds. The boat is heading at an angle of α with downstream, where α is equal to


A
150
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B
120
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C
90
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D
60
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Solution

The correct option is A 150
We know that the time taken for the boat to cross the river is given by,

t=wvsinθ

Given w=25 m is the width of the river,
time to cross river is t=10 s and
velocity of boat is v=5 ms1

10=255sinθ

sinθ=12

θ=30
α=180θ=150
The correct answer is option A

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