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A swimmer wants to cross a river, from point A to point B, as shown in...

A swimmer wants to cross a river, from point A to point B, as shown in the figure. The distance d1 (from A to C) is 200 m, the distance d2 (from C to B) is 150 m, and the speed vr of the current in the river is 5 km/hour. Suppose that the swimmer's velocity relative to the water makes an angle of θ=45degrees with the line from A to C, as indicated in the figure.

To swim directly from A to B, what speed us, relative to the water, should the swimmer have?

Express the swimmer's speed numerically, to three significant figures, in kilometers per hour.

dh v, = 5 km/hour lt


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