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.`

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 a point on the horizontal line through the foot of a chimney the angle of elevation of the top of the chimney is 30^@ . and the angle of elevation is 60^@ at a point on the same straight line 50 metres nearer to the chimney. What is the height of the chimney?

The height of the mobile tower is 40sqrt3 metre. The angle of elevation of the top of the tower from a point a distance 120 metre from the foot of the tower is

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.

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.

The angle ofelevation of the top of a tower from the foot of the building is 30^(@) and the angle of elevation of the top of the building from the foot of the tower is 60^(@) . What is the ratio ofheights of tower and building.

A man stands at a point X on the bank of a river and looks at the top of a tower which is situated exactly opposite to him on the other bank. The angle of elevations is 45^@ . The man then walk 300 m at right angle to the bank and away from it, to the point Y. From Y he looks at the top of the lower and finds the angle of elevations as 30^@ . Calculate the height of the tower and the width of the river.

A man standing in the midst of a field observes, a flying bird in his north at an angle of elevation of 30^@ and after 2.5 minutes he observes the bird in his south at an angle of elevation of 60^@ . If the bird flies in a straight line all along at a height of 60sqrt3 metres, what is its speed?

A boy observed the top of an electric pole at an angle of elevation of 60^(@) when the observation point is 8 meters away from the foot of the pole. Find the height of the pole.

Height of a flying kite from the ground is 300 metre and if the angle of elevation of that kite is 30^@ , then find the distance of kite from the boy to fly the kite.