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.

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

From a window h m high above the ground in a street, the angles of elevation and depression of the top and foot of the other house on the opposite side of the street as alpha and beta respectively show that height of the opposite house is h(1+tan alpha cos beta)m .

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

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 and phi respectively. Show that the height of theopposite house is h (1 + tan theta cot phi) .

From a window, 60 metres high above the ground, of a house in a street, the angles of elevation and and depression of the top and foot of another house on the opposite side of the street are 60o and 45o respectively. Show that the height of the opposite house is 60(sqrt3+1) metres.

Fom a window 60m high above the ground of a house in a street ,angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 60° and 45° respectively. Show that the height of the opposite house is 60(1+sqrt 3)m

From a window 60 m high above the ground of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side of the street are 60^(@) and 45^(@) respectively. Show that the height of opposite house is 60(1+sqrt(3)) metres.

From a window 15m high above the ground in a street,the angle of elevation and depression of the top and foot of another house on the opposite side of the street are 30^(@) and 45^(@) respectively.Then the height of opposite house in meters is