math

From a mountain 1780 ft. high, the angle of depression of a point on the nearer shore of a river is 48 degrees 40 minutes and of a point directly across on the opposite side is 22 degrees 20 minutes. What is the width of the river between the two points?

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  1. If you draw a diagram, you will see that you cannot compute the width of the river without knowing how far the river is from the mountain.

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  2. If we assume that the river is at the same elevation of the base of the mountain, then
    Width of the river
    =distance of far shore - distance of near shore
    =1780/tan(θ2)-1780/tan(θ1)

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