Height and Distance

Total Questions: 45

21. A mirror is placed on the ground facing upwards. A man sees the top of a tower in the mirror which is at a distance of 105 m from the mirror. The man is 0.5 m away from the mirror, and his height is 1.5 m. Find the height of the tower (in metres). [SSC CHSL 10/07/2024 (1st Shift)]

Correct Answer: (c) 315
Solution:

22. A vertical pole of length 6 m casts a 4 m long shadow on the ground. At the same time, a tower casts a 28 m long shadow. Find the height of the tower. [SSC CHSL 11/07/2024 (2nd Shift)]

Correct Answer: (d) 42 m
Solution:

23. A pole stands vertically on the ground with the help of a 12-metre steel wire tied to its top and affixed on the ground. If the steel wire makes an angle of 30° with the horizontal ground, then the height of the pole is equal to: [SSC CHSL Tier II 02/11/2023]

Correct Answer: (d) 6 meters
Solution:

24. A man observed the top of an electric pole at angles of elevation of 60° and 30°, respectively, from two different observation points P and Q If the distance between P and Q is 10 m, find the height of the pole (in m). [SSC CHSL Tier II 10/01/2024]

Correct Answer: (a) 5√3
Solution:

25. From the top of a tower, the angle of depression of the top of a 10 m high building is 60°. If the distance between the tower and the building is 50√3 m, find the height of the tower. [SSC CGL Tier II (26/10/2023)]

Correct Answer: (c) 160 m
Solution:

26. A vertical pillar 42 cm long casts a 35 cm long shadow. At the same time, a tower casts a shadow 25 m long. Find the height of the tower. [SSC CHSL 07/08/2023 (4th Shift)]

Correct Answer: (d) 30 m
Solution:

27. Suhas, a 3.15 m tall tree, and a building are positioned such that their feet on the ground are collinear and the tree is located between Suhas and the building. The tree is located at a distance of 7.5 m from Suhas and at a distance of 45 m from the building. Further, the eyes of Suhas, the top of the tree, and the top of the building fall in one line, and the eyes of Suhas are at a height of 1.8 m from the ground. Find the height (in m) of the building. [SSC CHSL 14/08/2023 (2nd Shift)]

Correct Answer: (a) 11.25
Solution:

28. Suhas, a tree, and an 11.25 m tall building are positioned such that their feet on the ground are collinear and the tree is located between Suhas and the building. The tree is located at a distance of 7.5 m from Suhas and at a distance of 45 m from the building. Further, the eyes of Suhas, the top of the tree, and the top of the building fall in one line, and the eyes of Suhas are at a height of 1.8 m from the ground. Find the height (in m) of the tree. [SSC CHSL 17/08/2023 (2nd Shift)]

Correct Answer: (c) 3.15
Solution:

29. A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30°. At what approximate distance (in metres) is the person standing away from the building. [SSC CGL 17/07/2023 (4th shift)]

Correct Answer: (c) 1732
Solution:

30. A vertical pole of 28m height casts a 19.2m long shadow. At the same time, find the length of the shadow cast by another pole of 52.5m height. [SSC CGL 20/07/2023 (4th shift)]

Correct Answer: (a) 36 m
Solution: