Angles of elevation from two points are complementary: height squared = product of the distances
This type of question, asked 4 times: CDS 1 2019, CDS 1 2020, CDS 1 2024, CDS 2 2024. All 4 questions below, oldest first.
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Question 1
CDS 1 2019
34The angles of elevation of the tops of two pillars of heights and from a point on the line joining the feet of the two pillars are complementary. If the distances of the foot of the pillars from the point are and respectively, then which one of the following is correct ?Tap an option to check your answer.
Question 2
CDS 1 2020
57The angles of elevation of the top of a tower from two points at distances and from the base and on the same straight line are and respectively. What is the height of the tower?Tap an option to check your answer.
Question 3
CDS 1 2024
53The angles of elevation of the top of a tower from two points A and B at a distance of x m and m from the base of the tower of height 6 m and in the same straight line with it are complementary. What is the value of x ?Tap an option to check your answer.
Question 4
CDS 2 2024
46A vertical pole of length 80 m is situated on the horizontal plane. The base of the pole is at . There are two points and such that , , are on the same straight line. Let the angles of elevation of top of the pole from and be and () respectively. If m and m, then what is equal to ?Tap an option to check your answer.