Problema Solution

Bob is driving along a straight and level road toward a mountain. At some point, he measures the angle of elevation to the top of the mountain and finds it to be 22 degrees, 39'. he then drives 1 mile (1mi=5280ft.) more and measures the angle of elevation to be 33 degrees, 58'. Find the height of the mountain to the nearest foot.

Answer provided by our tutors

tan(22 39') = h / ( x - 1 )

 and tan(33 58') = h / x - - - -- - - --  -- - - --- ----(A)

tan(33 58') / tan(22 39') =1 - (1/x)

=> find x from above and substitute in to get ' h ' ;