24. Five mark example problem XI

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 \(\theta_1\) and \(\theta_2\) respectively. Show that the height of the opposite house is \(h\left(1 + \frac{cot \ \theta_2}{cot \ \theta_1}\right)\).