A man in a boat rowing away from a cliff 150m high takes 2 minutes to change the angle of elevation of the top of the cliff from `60^@` to `45^@`. The speed of the boat is

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

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.

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)

An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45^@ . What is the height of the chimney?

A tower stands vertically on the ground. Front a point on the ground. which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^@ . Find the height of the tower.

A man on the deck of a ship is 16 m above water level. He observes that the angle of elevation of the top of a cliff is 45^@ and the angle of depression of the base is 30^@ . Calculate the distance of the cliff from the ship and the height of the cliff.

A man on the deck of a ship is 12 m above water level. He observes that the angle of elevation of the top of a cliff is 45^@ , and the angle of depression of the base is 30^@ . Calculate the distance of the cliff from the ship and the height of the cliff.

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.

On a horizontal plane there is a vertical tower with a flag on the top of the tower. At a point 9 metres away from the foot of the tower the angle of elevation of the top and bottom of the flag pole are 60^@ and 30^@ respectively. Find the height of the tower and flag pole mounted on it.

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.