Height and Distance (Railway Maths)

Total Questions: 57

21. The angles of elevation of the top of a tower from two points on the ground 18 m and 32 m away from the foot of the tower are complementary. The height of the tower is. [RRB NTPC 09/01/2021 (Evening)]

Correct Answer: (c) 24 m
Solution:

22. 5 m long ladder is leaning against a wall and it reaches the wall at a point 3 m high. By how much distance the ladder should be moved towards the wall so that its top reaches a point 4.8 m high? [RRB NTPC 10/01/2021 (Morning)]

Correct Answer: (b) 2.6 m
Solution:

23. A window in a building is at a height of 10 m from the ground. The angle of depression at a point P on the ground from the window is 30°. The angle of elevation of the top of the building from the point P is 60°. What is the height of the building? [RRB NTPC 10/01/2021 (Evening)]

Correct Answer: (a) 30 m
Solution:

24. A 10 feet long ladder leaning against a wall, reaches the wall at a point 8 feet high. By how much distance should the ladder be moved towards the wall so that its top reaches a point 9.6 feet high? [RRB NTPC 11/01/2021 (Evening)]

Correct Answer: (b) 3.2 ft
Solution:

25. A tree, 12 m in height, is broken by the wind in such a way that its top touches the ground and makes an angle of 60° with the ground. At what height from the bottom is the tree broken by the wind? [RRB NTPC 10/01/2021 (Morning)]

Correct Answer: (b) (24√3 - 36)m
Solution:

26. An observer 1.5 m tall is standing 28.5 m away at the same level as the foot of a tower. If the angle of elevation of the observer watching the top of the tower is 45 degrees, then what is the height of the tower? [RRB NTPC 16/01/2021 (Morning)]

Correct Answer: (a) 30 m
Solution:

27. Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the ships are 45° and 60° respectively. If the lighthouse is 81 m high then the distance between the two ships is: [RRB NTPC 16/01/2021 (Evening) ]

Correct Answer: (c)
Solution:

28. The angle of elevation of the sun when the length of the shadow of a pole is equal to its height is. [RRB NTPC 17/01/2021 (Evening)]

Correct Answer: (d) 45°
Solution:

29. Two poles are standing on the ground. The distances between their feet and their tops are 48m and 50m respectively. If the height of the small pole is 10m, find the height of the big pole. [RRB NTPC 25/01/2021 (Morning)]

Correct Answer: (d) 24m
Solution:

30. The top of a tower makes complementary angles of elevation from two points at the distances of 25m and 16m from its foot on the ground. Find the height of the tower. [RRB NTPC 25/01/2021 (Morning)]

Correct Answer: (c) 20m
Solution: