Previous Year Height and Distance Questions For SSC CGL 2017_00.1
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Previous Year Height and Distance Questions For SSC CGL 2017

Previous Year Height and Distance Questions For SSC CGL 2017_40.1

Q1. The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower is
(a) √3 m
(b) 5√3 m
(c) 10√3 m
(d) 20√3 m

Q2. The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45° to 30°. 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

Q3. The angle of elevation of the top of a tower from the point P and Q at distance of ‘a’ and ‘b’ respectively from the base of the tower and in the same straight line with it are complementary. The height of the tower is
(a) √ab
(b) a/b
(c) ab
(d) a^2 b^2

Q4. A vertical post 15 ft. high is broken at a certain height and its upper part, not completely separated meets the ground at an angle of 30°. Find the height at which the post is broken
(a) 10 ft.
(b) 5 ft.
(c) 15√3 ft.
(d) 5√3 ft.

Q5. From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is
(a) 10√3 m
(b) 20√3 m
(c) 10/√3 m
(d) 20/√3 m

Q6. The angle of elevation of sun changes from 30° to 45°, the length of the shadow of a pole decreases by 4 metres, the height of the pole is (Assume √3 = 1.732)
(a) 1.464 m
(b) 9.464 m
(c) 3.648 cm
(d) 5.464 m

Q7. A pole stands vertically inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ∆ABC, the foot of the pole is at the
(a) centroid
(b) circumcentre
(c) incentre
(d) orthocentre

Q8. The length of the shadow of a vertical tower on level ground increases by 10 metres when the altitude of the sun changes from 45° to 30°. Then the height of the tower is
(a) 5√3 metre
(b) 10(√3 + 1) metre
(c) 5(√3 + 1) metre
(d) 10√3 metre

Q9. From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30° and 45°. Then the distance between the objects are 
(a) 180(3 + √3)
(b) 180( 3 – √3)
(c) 180(√3 – 1)
(d) 180(√3 + 1)

Q10. If a pole of 12 m height caste a shadow of 4√3 m long on the ground then the sun’s angle of elevation at that instant is
(a) 30°
(b) 60°
(c) 45°
(d) 90°

Q11. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30°. The man walks some distance towards the tower and then his angle of elevation of the top of the tower is 60°. If the height of tower is 30 m, then the distance he moves is
(a) 22 m
(b) 22√3 m
(c) 20 m
(d) 20√3 m

Q12. The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 metres from the house. The length of the ladder is
(a) 13/√3
(b) 13 meters
(c) 15 meters
(d) 3.25 meters

Q13. If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be
(a) √3/2 km
(b) 1/2 km
(c) 2/√3 km
(d) 3√3 km

Q14. The angle of elevation of the top of a tower from a point on the ground is 30° and moving 70 meters towards the tower it becomes 60°. The height of the tower is
(a) 10 meter
(b) 10/√3 meter
(c) 10√3 meter
(d) 35√3 meter

Q15. The angle of elevation of an aeroplane from a point on the ground is 60°. After 15 second flight, the elevation changes to 30°, 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

SOLUTIONS
Previous Year Height and Distance Questions For SSC CGL 2017_50.1

Previous Year Height and Distance Questions For SSC CGL 2017_60.1

 S3. Ans.(a)
Sol. Direct trick – √ab

Previous Year Height and Distance Questions For SSC CGL 2017_70.1

Previous Year Height and Distance Questions For SSC CGL 2017_80.1

Previous Year Height and Distance Questions For SSC CGL 2017_90.1
S7. Ans.(b)
Sol. Circumcentre

 Previous Year Height and Distance Questions For SSC CGL 2017_100.1

Previous Year Height and Distance Questions For SSC CGL 2017_110.1

Previous Year Height and Distance Questions For SSC CGL 2017_120.1

Previous Year Height and Distance Questions For SSC CGL 2017_130.1

Previous Year Height and Distance Questions For SSC CGL 2017_140.1

Previous Year Height and Distance Questions For SSC CGL 2017_150.1

Previous Year Height and Distance Questions For SSC CGL 2017_160.1

Previous Year Height and Distance Questions For SSC CGL 2017_170.1

Previous Year Height and Distance Questions For SSC CGL 2017_180.1Previous Year Height and Distance Questions For SSC CGL 2017_190.1
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