Angle of elevation (or depression) from two points on the same side of a tower: find the height, distance or time
This type of question, asked 5 times: CDS 2 2016, CDS 1 2022, CDS 1 2023, CDS 1 2026, CDS 2 2026. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
73A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression . After some time, the angle of depression becomes . What is the distance travelled by the car during this time ?Tap an option to check your answer.
Question 2
CDS 1 2022
54The angle of elevation of the top of a tower of height metre from a point on the ground is found to be . By going metre away from that point, it becomes . Which one of the following relations is correct?Tap an option to check your answer.
Question 3
CDS 1 2023
54A person on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 6 minutes for the angle of depression to change from to , and further minutes to reach the tower, which one of the following is correct ?Tap an option to check your answer.
Question 4
CDS 1 2026
44At a point on level ground, the tangent of the angle of elevation of the top of a tower is found to be . On walking 70 m towards the tower, the tangent of the angle of elevation of the top of the tower is found to be . What is the height of the tower ?Tap an option to check your answer.
Question 5
CDS 2 2026
44A person walking along a straight road observes that at two consecutive kilometer-stones the angles of elevation of a hill in front of him are and respectively. What is the height of the hill ?Tap an option to check your answer.