A man standing on the deck of a ship, which is 10m above the water level, 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.

From the top of a building, the angle of elevation of the top of a cell tower is 60^(@) and the angle of depression to its foot is 45^(@) . If distance of the building from the tower is 7m, then find the height ofthe tower.

From the top of a tower , which is 240m high , if the angle of depression of a point on the ground is 30^@ . then the distance of the point from the foot of the tower is

The angle of elevation of a cloud from a point h metres above a lake is 45^@ and the angle of depression of its reflection in the lake is 60^@ . Which of the following is the height of the cloud?

From a point at a height of 30 metre from the water level of a lake the angle of elevation of an aeroplane is 30^@ and the angle of depression of the shadow of the aeroplane in water of the lake is 60^@ . What is the height of the aeroplane from the water surface of the lake?

The angle of elevation of a cloud from a point 200 m above a lake is 30^@ and the angle of depression of its reflection in the lake is 45^@ . Find the height of the cloud from the lake.

A man, standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60^@ But the angle off elevations is 30^@ from a point at a distance y metres from the bank. Show that the height of tree h= sqrt(3y)/2.

Two men standing on either side of a tower 60m high observe the angle of elevation of the top of the tower is to be 45^@ and 60^@ respectively. Find the distance between two men.

Form a point on the same plane along the horizontal line passes through the foot of a chimney, the angle of elevation of the top of the chimney is 30^(@) and the angle of elevation of the top of the chimney is 60^(@) at a point on the same straight line proceeding 50 metres nearer to the chimney. Calculate the height of the chimney.

From the top of a cliff, 150 metres high, the angles of depression of the top and bottom of a pillar are found to be 30^@ and 60^@ respectively, find the height of the pillar.

From a point on the roof of five-storied building the angle of elevation of the top of a monument and that of angle of depression of the foot of the monument are 60^(@) and 30^(@) respectively. If the height of the building is 16 metres, calculate the height of the monument and the distance of the building from the monument.