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 man is standing on the deck of a ship, which is 8 m above water level. He observes the angle of elevation of the top of a hill as 60^@ and the angle of depression of the base of the hill as 30^@ . Calculate the distance of the hill,from the ship and the height of the hill.

The angle of elevation of a cloud from a point 200 m above the lake is 30^@ and the angle of depression of the reflection of the cloud in the lake is 60^@ . Find the height of the cloud.

From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60^@ and the angle of depression of its foot is 45^@ . Determine the height of the tower.

From the top of a tower, the angle of depression of a point on the ground is 60^@ . If the distance of this point from the tower is 1/(sqrt3+1) metres, then the height of the tower is :

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 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 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 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.

A statue 1.6 m tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^@ and from the same point the angle of elevation of the top of the pedestal is 45^@ . Find the height of the pedestal.

The angle of elevation of the top of a building from the foot of the tower is 30^@ and the angle of elevation of the top of the tower from the foot of the building is 60^@ . If the tower is 50 m high, find the height of the building.