Solution: Crossing a River. As shown, a swimmer wants to cross a river, from point A to point B. The distance d1 (between A and C) is 200 m, the distance d2 (between C and B) is 150 m, and the river's speed vr is 5.00 km/h. The swimmer's velocity relative to the water makes an angle of 45 degrees with respect to AC. To swim directly from A to B, what speed v2, relative to the river's speed, should the swimmer have?

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Crossing a River. As shown, a swimmer wants to cross a river, from point A to point B. The distance d1 (between A and C) is 200 m, the distance d2 (between C and B) is 150 m, and the river's speed vr is 5.00 km/h. The swimmer's velocity relative to the water makes an angle of 45 degrees with respect to AC. To swim directly from A to B, what speed v2, relative to the river's speed, should the swimmer have?