A boat travels from south bank to north bank of a river with a maximum speed of 8 km/h. To arrive at a point opposite to the point of start, the boat should start at anangle
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a
tan−1(1/2)W of N
b
tan−1(1/2)N of W
c
30∘W of N
d
30∘N of W
answer is C.
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Detailed Solution
In order to arrive at the opposite bank, the boat should start at an angle θ with north such that sinθ=48 or θ=30∘. The real velocity of boat will be v=82−42=48,θ=30∘W of N