Two points on opposite sides of a tower or below an observer: width = h(cot a + cot b)
This type of question, asked 5 times: CDS 2 2016, CDS 1 2017, CDS 2 2021, CDS 2 2024, CDS 1 2026. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
74Two men on either side of a tower 75 m high observe the angle of elevation of the top of the tower to be and . What is the distance between the two men ?Tap an option to check your answer.
Question 2
CDS 1 2017
100From an aeroplane vertically over a straight horizontal road, the angles of depression of two consecutive kilometre-stones on the opposite sides of the aeroplane are observed to be and . The height of the aeroplane above the road isTap an option to check your answer.
Question 3
CDS 2 2021
51From an aeroplane flying above a river at an altitude of 1200 m, it is observed that the angles of depression of opposite points on the two banks of a river are and . If the width of the river is 3000 m, then which one of the following is correct ?Tap an option to check your answer.
Question 4
CDS 2 2024
18From a point on a bridge across a river, the angles of depression of two points and on the banks on opposite side of the river are and respectively. If the point is at a height above the surface of the river, what is the width of the river if and are complementary ?Tap an option to check your answer.
Question 5
CDS 1 2026
45Two persons are on diametrically opposite sides of a tower. They measure the angles of elevation of the top of the tower as and respectively. If the height of the tower is 100 m, what is the approximate distance between the two persons ?Tap an option to check your answer.