Question

Determine the height of a mountain if the elevation of its top at an unlmorvn distance from the base is 30º and at a distance 10km further of from the mountain, along the same line, the angle of elevation is 15º. (Use tan 15º = 0.27)

Answer 1

Let AB be the mountain of height h kilometers. Let C be a point at a distance of x km, from the base of the mountain such that the angle of elevation of the top at C is 30º. Let D be a point at a distance of 10km from C such that angle of elevation at D is of l5º.