Two Hills are 2 miles apart. The taller hill is 2707 ft high. The angle of depression from the top of the taller hill to the top of the shorter hill is 7 degrees. Find the height of the shorter hill to the nearest foot. (See the picture below).

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Two Hills are 2 miles apart. The taller hill is 2707 ft high. The angle of depression from the top of the taller hill to the top of the shorter hill is 7 degrees. Find the height of the shorter hill to the nearest foot. (See the picture below).

Mathematics
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|dw:1327644035621:dw|
tan7 = (2707 - h)/(2*5280) = h = 2707 - 2*5280*tan7
|dw:1327644272471:dw|

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