A window of a house is h metres above the ground. From the window, the angles of
Channel: Doubtnut
Date: 2020-04-19

A window of a house is h metres above the ground. From the window, the angles of elevation and depression of the top and bottom of another house situated on the opposite side of the lane are found to be `alpha and beta` respectively. Prove that the height of the house is `h(1 + tan alpha cdot tan beta)` metres.