A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is
24∘
From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is
29∘
How high (in feet) is the mountain?
h = d tan(24º) = (d - 2000) tan(29º)
d tan(24º) = d tan(29º) - 2000 tan(29º)
... d = -2000 tan(29º) / [tan(24º) - tan(29º)]
solve for d , then substitute back to find h