Geometry Help ! 10points
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Geometry Help ! 10points

[From: ] [author: ] [Date: 12-11-19] [Hit: ]
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Use angles of elevation and depression to solve the problem

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. (1mi =5280ft)

please explain and show work of how you get the answer i have like 10 more problems of these and i cant figure it out.
Thank you

-
Right triangle (draw it out -- hypotenuse is top to top)

base is 2 miles = 10560 feet

theta = 7 degrees

tan(theta) = base/h

where h is the height difference.

or h= base/tan(7deg)

height of shorter hill is taller - difference = 2707 - h
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