Height and Distance (Railway Maths)

Total Questions: 57

51. The angle of elevation of the top of a chimney from the top of a tower is 60° and the angle of depression of the foot of the chimney from the top of the tower is 30°. If the height of the tower is 40 m, then find the height of the chimney. [RRB JE 02/06/2019 (Evening)]

Correct Answer: (a) 160 m
Solution:

52. A ladder is placed against a wall in such a way that its base is at a distance of 5 m from the wall and its top touches a window at a height of 12 m from the ground. What will be the length of the ladder? [ALP Tier II 21/01/2019 (Afternoon) ]

Correct Answer: (d) 13m
Solution:

53. When the length of the shadow of a tree √3 times the height of the tree, then what will be the angle of elevation of the sun? [ALP Tier II 21/01/2019 (Afternoon) ]

Correct Answer: (a) 30°
Solution:

54. From the top of a platform 5m high, the angle of elevation of a tower was 30°. If the platform was positioned 40√3 m away from the tower, how tall was the tower? [RRB ALP 13/08/2018 (Afternoon)]

Correct Answer: (d) 45 m
Solution:

55. From the top of a platform, the angle of elevation of a tower was 30°. The tower was 45 m high and the horizontal distance between the platform and the tower was 40√3 m. What was the height of the platform? (in meters) [RRB ALP 14/08/2018 (Afternoon)]

Correct Answer: (c) 5
Solution:

56. From the top of a building, the angles of elevation and depression of top and bottom of a tower are 60° and 30° respectively. If the height of the building is 5m, then the height of the tower is (in meters): [RRB ALP 14/08/2018 (Evening)]

Correct Answer: (b) 20
Solution:

57. The angle of elevation of the top of a 36 m tall tower from the initial position of a person on the ground was 60°. She walked away in a manner that the foot of the tower, her initial position and the final position were all in the same straight line. The angle of elevation of the top of the tower from her final position was 30°. How much did she walk from her initial position? (in meters) [RRB ALP 21/08/2018 (Afternoon)]

Correct Answer: (d) 24√3
Solution: