Height and Distance (Railway Maths)

Total Questions: 57

31. An electric pole casts a shadow of length 28m at a time when a nearby tree 8m high casts a shadow of length 14m. Find the height of the pole. [RRB NTPC 27/01/2021 (Evening)]

Correct Answer: (a) 16 m
Solution:

32. The angles of depression of two houses of the same height from the top of a building are 45° and 30° towards the east. If the two houses are 50 m apart, what will be the height of the building in meters? [RRB NTPC 29/01/2021 (Morning)]

Correct Answer: (b) 25 (√3 + 1)
Solution:

33. A kite is flying with a thread of length 296 m, making an angle of elevation measuring 30° at a point of the hand of a person of height 2m from the ground. Find the height of the kite from the ground. [RRB NTPC 30/01/2021 (Morning)]

Correct Answer: (b) 150 m
Solution:

34. From a point Y on the level ground, the angle of elevation of the top of a lamp post is 45°. If the distance of point Y from the foot of the lamp post is 80 m, the height of the lamp post will be: [RRB NTPC 31/01/2021 (Evening)]

Correct Answer: (b) 80 m
Solution:

35. The angle of elevation of a lamp post changes from 30° to 60° when a person walks 30 m towards it. Find the height of the lamp post. [RRB NTPC 01/02/2021 (Evening)]

Correct Answer: (c) 15√3 m
Solution:

36. Find the angle of elevation of a 200√3 m tower’s top from a point 200 m away from its base. [RRB NTPC 03/02/2021 (Evening)]

Correct Answer: (d) 60°
Solution:

37. An observer 1.5 m tall is 24.5 m away from a 26 m high tower. The angle of elevation of the top of the tower from the eye of the observer is: [RRB NTPC 03/03/2021 (Evening)]

Correct Answer: (c) 45°
Solution:

38. If the height of a pole is 6√3 metre and the length of its shadow is 6 metre, then the angle of elevation of the sun is: [RRB NTPC 07/03/2021 (Evening)]

Correct Answer: (a) 60°
Solution:

39. A pole consists of a steel portion, and a wooden portion on top of the steel portion. Point A on the ground, is 100 m away from the base of the pole. The angle of elevation from point A to the top S of the wooden portion of the pole, is 60°. The angle of elevation, from A to the top R of the steel portion of the pole, is 45°. What is the height of the wooden portion of the pole? (Take √3 = 1.732) [RRB NTPC 11/03/2021 (Evening) ]

Correct Answer: (c) 73.2 m
Solution:

40. If the length of a pole is 6√3 m and the length of the shadow is 6 m, then the angle of elevation of the sun is: [RRB NTPC 13/03/2021 (Evening)]

Correct Answer: (b) 60°
Solution: