The angle of elevation `theta` of the top of a light house, as seen by a person on the ground, is such that `tan theta=5/2`, When the person moves a distance of 240 m. towards the light house, the angle of elevation becomes `phi` such that `tan theta=3/4`.
Find the height of the light house.

The angle of elevation of the top of a tower from a point A on the ground is 30^@ . On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60^@ . Find the height of the tower and distance of the tower from the point A.

The angle of elevation theta , of a vertical tower from a point on ground is such that its tangent is 5/12 . On walking 192 metres towards the tower in the same straight line, the tangent of the angle of elevation phi is found to be 3/4 . Find the height of the tower

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60^@ . At a point Y, 40 m vertically above X, the angle of elevation is 45^@ . Find the height of the tower PQ and the distance XQ.

The angles of elevation and depression of the top and bottom of a light-house from the top of a building 60 m high are 30^@ and 60^@ respectively. Find the difference between the heights of the light-house and the building

The angles of elevation and depression of the top and bottom of a light-house from the top of a building 60 m high are 30^@ and 60^@ respectively. Find difference between the light-house and the building.

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on theopposite bank is 60^@ . When he moves 40 m away from the bank, he finds the angle of elevation to be 30^@ . Find the height of the tree and the width of the river.

A pole 5 m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point 'A' on the ground is 60^@ and the angle of depression of the point ‘A’ from the top of the tower is 45^@ . Find the height of the tower

From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30^@ .A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^@ . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3 = 1.732)

A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60^@ . After some time, the angle of elevation reduces to 30^@ (see fig.). Find the distance travelled by the balloon during the interval.

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) .