From an aeroplane vertically above a straight horizontal road, the angles of depression of two consecutive mile stones on opposite sides of the aeroplane are observed to be `alphaa n dbeta` . Show that the height in miles of aeroplane above the road is give by `(tanalphatanbeta)/(tanalpha+tanbeta)`

An aeroplane is flying above a horizontal road between the two consecutive kilometer's stones. These stones are on the opposite sides of the aeroplane. The angles of depressionof these stones from the aeroplane are 30^(@)" and "60^(@) . Find the height of the aeroplane from the road.

From the top of a light house, the angles of depression of two ships on the opposite sides of its are observed to be alphaa n dbeta . If the height of the light house be h metres and the line joining the ships passes through the foot of the light house, show that the distance between the ship is h(tanalpha+tanbeta)/(tanalphat a nbeta)

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.

From a window 15 metres high above the ground 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 30^0a n d45^0 respectively show that the height of the opposite house is 23.66 metres (t a k esqrt(3)=1. 732)

An aeroplane at an altitude of 200 metres observes the angles of depression of opposite points on the two banks of a river to be 45^0a n d60^0dot Find the width of the river.

An aeroplane, when 3000 m high, passes vertically above anthoer aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are 45^(@)" and "60^(@) respectively. Find the vertical distance between the tow planes.

An aeroplane flying at a height 300 metre above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60^@ and 45^@ respectively. Then the height of the lower plane from the ground in metres is

An aeroplane is flying over two houses which are at a distance of 300 m from each other. If at some moment from the aeroplane the angle of depression of two houses on the same side are 45^(@)" and "60^(@) , at what height the plane is flying ?

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^0&45^0 respectively. Find the vertical distance between the aeroplanes at that instant.

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^@ and 45^@ respectively. Find the vertical distance between the aeroplanes at that instant.