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.

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.

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.

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 hill 200 m high, the angles of depression of the top and the bottom of a pillar are 30^@ and 60^@ respectively. Find the height of the pillar and its distance from the hill.

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 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

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.

Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road the angles of elevation of the top of the poles are 60^@ and 30^@ , respectively. Find the height of the poles and the distances of the point from the poles.

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.