Two men on either side of a temple of 30 meter height observe its top at the angles of elevation `30^(@)` and `60^(@)` respectively. Find the distance between the two men.

Two poles of equal heights are standing opposite to each other on either side of the road, which is 120 feet 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.

Two poles of equal heights are standing opposite each other on either side of the road, which is 80m 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.

Two projectiles are fired from the same point with the same speed at angles of projection 60^(@) and 30^(@) respectively. Which one of the following is true?

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m high building are 45^(@) and 60^(@) respectively. Find the height of the tower.

The angles of depression of the top and the bottom of an 8m tall building from the top of a multi-storeyed building are 30^(@) and 45^(@) , respectively. Find the height of the multi-storeyed building and the distance between the two buildings.

Two particles P & Q are projected simultaneously from a point O on a level ground in the same vertical plane with the same speed in directions making angle of 30^(@) and 60^(@) respectively with the horizontal.

A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60^(@) . After some time, the angle of elevation reduces to 30^(@) (see the given figure). FInd the distance travelled by the balloon during the interval.

The angle of elevation of the top of a tower 30m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top the second tower from the foot of the first tower is 30^(@) . Find the distance between the two towers and also find the height of the other tower.

From the top of a building 60m high, the angles of depression of the top and the bottom of a tower are observed to be 30^(@) and 60^(@) . Find the height of the tower.

As observed from the top of a 75m high lighthouse from the sea-level, the angles of depression of two ships are 30^(@) and 45^(@) . If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships