Height and Distance Questions and Answers for Competitive Exams

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

Q.26. The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45⁰ to 30⁰ .Then the height of the tower is 

(A) 20(√3+1)m

(B) 24 (√3+1) m

(C) 30 (√3+1)m

(D) 30 (√3-1) m

Q.27. A vertical post 15 ft. high is broken at a certain height and its upper part, not completely separated meets the ground angle of 30⁰. Find the height at which the post is broken

(A) 10 ft

(B) 5 ft

(C) 15√3(2-√3) ft

(D) 5√3 ft

Q.28. The shadow of a tower is √3 times its height. Then the angle of elevation of the top of the tower is 

(A) 45⁰

(B) 30⁰

(C) 60⁰

(D) 90⁰

Q.29. A man 6ft tall cats a shadow 4ft long. At the same time when a flag pole casts a shadow 50 ft long. The height of the flag pole is 

(A) 80 ft

(B) 75 ft

(C) 60 ft

(D) 70 ft

Q.30. The angle of elevation of an aeroplane from a point on the ground is 60⁰. After 15 seconds flight, the elevation changes to 30⁰, If the aeroplane is flying at a height of 1500√3 m, find the speed of the plane

(A) 300 m/sec

(B) 200 m/sec

(C) 100 m/sec

(D)  150 m/sec

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