From a point A, level with the foot of a hill, the angle of elevation of the top of the hill is 16. From a point B, 950 m clearer the foot of the hill, the angle of elevation of the top is 35. Determine the height of the hill.

Answer 1

Tan35 = h/d, h = d*Tan35.

Tan16 = h/(d+950), h = (d+950)Tan16.

d*Tan35 = (d+950)*Tan16.
0.7d = 0.287d + 272.4, 0.413d = 272.4, d = 659.6 m.

h = d*Tan35 = 659.6 * Tan35 = 461.8 m.