Problem

Passing in the Night A boat sailing north sights a lighthouse to the east at an angle of 3...

Passing in the Night A boat sailing north sights a lighthouse to the east at an angle of 32° from the north as shown in the drawing. After the boat travels one more kilometer, the angle of the lighthouse from the north is 36°. If the boat continues to sail north, then how close will the boat come to the lighthouse to the nearest tenth of a kilometer?

Figure

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