Heights And Distances Mock Tests

A tower stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the tower is 30°. If the point is 48 m away from the foot of the tower, find the height of the tower.

From the top of a 60 m high cliff, the angle of depression of a ship is 30°. The horizontal distance of the ship from the base of the cliff is:

From the top of a building 30√3 m high, the angle of depression of a point on the ground is 30°. The distance of the point from the base of the building is:

A man standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 60°. When he moves 40 m away from the bank, the angle of elevation becomes 30°. Find the width of the river.

From the top of a tower 50√3 m high, the angle of depression of an object is 30°. The distance of the object from the foot of the tower is:

The angle of elevation of the top of a tower from a distance 40 m from its base is 45°. The height of the tower is:

A ladder is placed against a wall such that its foot is at a distance of 6 m from the wall and its top reaches a window 8 m above the ground. The length of the ladder is:

The height of a tower is 50√3 m. From a point on the ground, the angle of elevation of the top of the tower is 30°. The distance of the point from the base of the tower is