A person stands at a point A due south of a tower of height h and observes that its elevation is `60^(@).` He then walks westwards towards B, where the elevation is `45^(@).` At a point C on AB produced, show that if he find it to be `30^(@). OA, OB, OC` are in GP.

A man observes the elevation of a balloon to be 30^@ . He then walks 1 km towards the balloon and finds that the elevation is 60^@ . What is the height of the balloon ?

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.

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.

From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ . The angle of elevation to the top of a water tank (On the top of the tower) is 45^@ . Find the height of the tower and the depth of the tank.

AB is a vertical pole with B at the ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^@ . He moves away from the pole along the line BC to a point D such that CD =7m. From D, the angle of elevation of the point A is 45^@ . Then the length of the pole is:

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

A tree stands vertically on the bank of a river. From a point on the other bank directly opposite the tree, the angle of elevation of the top of the tree is 60^@ . From a point 20 m behind this point on the same bank, the angle of elevation of the top of the tree is 30^@ . Find the height of the tree and the width of the river.

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.

A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60^@ . From a point 20maway from this point on the same bank, the angle of elevation of the top of the tower is 30^@ (see fig.). Find the height of the tower and the width of the canal.

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