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

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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

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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

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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

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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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