At a point on a level ground, the angle of elevationof a mountain top B is 42deg36min. At a pointD350 meters nearer the mountain, the angle of elevation is 51deg 43 min. Find the height of the mountain?

Answer 1

just set it up. If D is x from the base of the mountain of height h, then

h/x = tan 51°43'
h/(x+350) = tan 42°36'

solving for x, we get

h/tan51°43' = h/tan42°36' - 350

Now just solve for h.
I get h=1173