A 400.0- m -wide river flows from west to east at 30.0 m / m i n . Your boat mov

Question

A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 90.0m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C , 75.0 m downstream from B.

To reach point C at what bearing must you aim your boat?

A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 90.0m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C , 75.0 m downstream from B.

Explanation / Answer

Let u keep it at an angle A with the line AB less than 90 and in clockwise direction

So,

VCosA * t = 400

(30 - VSinA)*t = 75

V = speed of boat w.r.t. earth = speed of boat w.r.t. water + speed of water = 90 + 30 = 120

=> (30 - 120SinA) = 22.5CosA

=> A = 3.61 degree

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