Height and Distance (Railway Maths)

Total Questions: 57

11. A shadow of a tower standing on a level ground is found to be 40√3 meters longer when the Sun's altitude is 30° when it is 60°. The height of the tower is: [Group D 18/08/2022 (Evening) ]

Correct Answer: (b) 60 m
Solution:

12. From the top of the tower of 30 m height, a man is observing a kid playing on the ground at an angle of depression of 30 degrees. Find the distance between the foot of the tower and the kid. (height of man and kid are to be ignored for calculation) ? [Level 6 (09/05/2022) Shift 2 ]

Correct Answer: (d) 30√3 m
Solution:

13. A man on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 10 minutes for the angle of depression to change from 45° to 60°, in how much time will the car reach the tower? [Level 5 (15/06/2022) Shift 2]

Correct Answer: (a) 15 + √5 minutes
Solution:

14. The angle of elevation of an aeroplane from a point on the ground is 45°. After a flight of 12 seconds horizontally, the angle of elevation changes to 30°. If the aeroplane is flying at a height of 2400 m, Find the speed of the aeroplane (in km/h). [Level 5 (15/06/2022) Shift 3]

Correct Answer: (c) 720(√3 - 1)
Solution:

15. The horizontal distance between two towers is 40√3 m. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 130 m, find the height of the first tower. [RRB NTPC 30/12/2020 (Evening)]

Correct Answer: (d) 90 m
Solution:

16. The angle of elevation of a pole from a point, which is 20 m away from the foot of the pole is 45°. Find the height of the pole. [RRB NTPC 04/01/2021 (Morning)]

Correct Answer: (c) 20 m
Solution:

17. When the shadow of a pole of 10 m height is 10√3 m, the angular elevation of the sun is. [RRB NTPC 07/01/2021 (Morning)]

Correct Answer: (a) 30°
Solution:

18. Two poles of height 20 and 14 meters are joined at the top by a wire which makes an angle of 30° with the horizontal. The length of the wire is? [RRB NTPC 08/01/2021 (Morning) ]

Correct Answer: (a) 12 m
Solution:

19. A man standing on the banks of a river observes that the angle subtended by a tree on the opposite bank is 60°. He walks 36 meters backward on the bank and observes the angle to be 30°. What is the breadth of the river? [RRB NTPC 08/01/2021 (Morning)]

Correct Answer: (b) 18 meters
Solution:

20. The top of two towers of heights x and y standing on level ground, subtend angles of 60° and 30° respectively at the midpoint of the line joining their feet. The value of x : y is [RRB NTPC 09/01/2021 (Morning)]

Correct Answer: (d) 3 : 1
Solution: