Height and Distance Questions and Answers for Competitive Exams

Height and Distance Questions and Answers for SSC and Bank Exams:

Q.16. The angle of elevation of the top of a tower from a point A on the ground is 30⁰. On moving a distance of 20 metres towards the foot the tower to a point B, the angle of elevation increases to 60⁰. The height of the tower is 

(A) √3 m

(B) 5√3 m

(C) 10√3 m

(D) 20√3 m

Q.17. Two poles of equal height are standing opposite to each other on either side of a road which is 100 m wide. From a point between them on road, angle of elevation of their tops are 300 and 600. The height of each pole (in meter) is

(A) 25√3 m

(B) 20√3 m

(C) 28√3 m

(D) 30√3 m

Q.18. The angle of elevation of the top of a chimney and roof of the building from a point on the ground are x and 45 respectively. The height of building is h meter. Then the height of the chimney, (in metre) is 

(A) h cot x + h

(B) h cot x - h

(C) h tan x - h

(D) h tan x + h

Q.19. There are two vertical posts, one on each side of a road, just opposite to each other. One post is 108 metre high. From the top of this post the angle of depression of the top and foot of the other post are 30⁰ and 60⁰ respectively. The height of the other post ( in metre) is 

(A) 36

(B) 72

(C) 108

(D) 110

Q.20. One files a kite with a thread 150 metre long. If the thread of the kite makes an angle of 60⁰ with the horizontal line, then the height of the kite from the ground (assuming the thread to be in a straight line) is

(A) 50 meter

(B) 75√3 meter

(C) 25√3 meter

(D) 80 meter

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