The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is `60^@`. At a point Y, 40 m vertically above X, the angle of elevation is `45^@`. Find the height of the tower PQ and the distance XQ.

The angle of elevation of the top of a tower from a point A on the ground is 30^@ . On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60^@ . Find the height of the tower and distance of the tower from the point A.

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 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.

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.

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30^@ . Find the height of the tower.

From the top of a building 15 m high, the angle of elevation of the top of a tower is found to be 30^@ . From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the distance between the tower and the building.

A tree stands vertically on the bank of a river. From a point on the other bank directly opposite the tree, the angle of elevation of the top of the tree is 60^@ . From a point 20 m behind this point on the same bank, the angle of elevation of the top of the tree is 30^@ . Find the height of the tree and the width of the river.

The angle of elevation of the top of a tower from a point O, on the ground, which is 600 m away from the foot of the tower, is 45^@ . Obtain the height of the tower.

The angle of elevation of the top of a tower a point A due south of it is 30^@ and from a point B due west of it is 45^@ .If the height of the tower is 100 meters ,then find the distance AB. (a)150m " " (b)200m " " (c)173.2m " " (d)141.4m

The angle of elevation of a jet plane from a point A on the ground is 60^@ . After a flight of 15 secondsthe angle of elevation changes to 30^@ . If the jet plane is flying at a constant height of 1500sqrt3m , find the speed of the jet plane.