Question

A surveyor wants to find the height of a hill. He determines that the angle of elevation to the top of the hill is 50° . He then walks 40 feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30° . Find the height of the hill (round to the nearest foot).
If you draw a diagram, you can see that if the height is h, then
h cot50° - h cot30° = 40

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