Question

From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are θ and φ respectively. Show that the height of the opposite house is h(1 + tan θ cot φ) metres.

Answer 1

Let W be the window and AB be the house on the opposite side.
Then, WP is the width of the street.