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Q.

A river if flowing with a speed of 1 km/hr. A swimmer wants to go to point C starting from A. He swims with speed of 5 km/hr, at an w.r.t river flow. If AB = BC = 400 m. At what angle with river bank should swimmer swim 1. The value of  θ

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a

52°

b

50°

c

53°

d

54°

answer is C.

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Detailed Solution

Question Image

Tan⁡45∘=vyvx⇒vy=vxvR+vscos⁡θ=vssin⁡θ1+5cos⁡θ=5sin⁡θ
On squaring on both sides
1+25cos2⁡θ+10cor⁡θ=25−25cos2⁡θθ=53∘

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