NDA || Mathematics || Height and Distance || Quiz 2020

if the angle of elevation of the top of the tower from the three collinear points A,B and C on a line leading to the foot of the tower, are 30^o, 45^o and 60^o then the ratio of AB:BC is

A moving boat is observed from the top of a cliff of 150 m height. The angle of depression of the boat changes from 60o to 45o in 2 minutes. What is the speed of the boat in metres per hour?

The angle of elevation of a stationary cloud from a point 25 m above a lake is 15^o and the angle of depression of its image in the lake is 45^o. The height of the cloud above the lake level is

From the top of a 7 meter high building, the angle of elevation of the top of a cable tower is 60⁰ and the angle of depression of its foot is 45⁰.Determine the height of the tower.

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30⁰ and 45⁰ respectively. If the bridge is at a height of 2.5m from the banks, find the width of the river.

From the top of a lighthouse, 100 m high, the angle of depression of a boat is . What is the distance between the boat and the lighthouse?

The angle of depression of two ships from the top of the lighthouse is  and  towards east. If the ships are 200 m apart, the height of the lighthouse is

From the top of a building, 60 m high the angle of depression of the top and bottom of a tower are observed to be  and . find the height of the tower?

Two poles are 10 m and 20 m high. The line joining their tips makes an angle of 15^o with the horizontal. The distance between the poles is approximately equal to

The angle of elevation of the top of a tower from a point 20 m away from its base is 45°. What is the height of the tower?