Question

From the top of a hill, the angles of depression of two consecutive kilometer stones, due east, are found to be 30° and 45° respectively. Find the distances of the two stones from the foot of the hill.

Answer 1

Let AB be the hill of height h km and C and D be the two consecutive stones such that CD = 1 km, ∠ACB = 30° and ∠ADB = 45°

Hence, the two stones are at a distance of 1.366 km and 2.366 km from the foot of the hill.