Height and Distance

Total Questions: 45

41. A poster is on top of a building. A person is standing on the ground at a distance of 50m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30°, respectively. What is 200% of the height (in m) of the poster? [SSC CGL 18/04/2022 (Afternoon)]

Correct Answer: (d)
Solution:

42. Two pillars A and B of the same height are on opposite sides of a road which is 40 m wide. The angles of elevation of the tops of the pillars A and B are 30° and 45°, respectively, at a point on the road between the pillars. What is the distance( in m) of the point from the foot of pillar A? [SSC CGL Tier II (03/02/2022)]

Correct Answer: (c) 20(3 - √3)
Solution:

43. As observed from the top of a lighthouse, 42 m high above sea level, The angle of depression of a ship sailing directly towards it changes from 30° to 45°. The distance travelled by the ship during the period of observation is: [SSC CHSL 04/08/2021 (Evening)]

Correct Answer: (c) 42(√3 - 1)
Solution:

44. A person was standing on a road near a mall. He was 1425 m away from the mall and able to see the top of the mall from the road in such a way that the top of the tree, which is in between him and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 30m away from him. How tall (in m) is the mall? [SSC CPO 23/11/2020 (Morning)]

Correct Answer: (a) 475
Solution:

45. The length of the shadow of a vertical pole on the ground is 18m. If the angle of elevation of the sun at that time 12 is θ,such that cose = 12/13, then what is the height (in m) of the pole ? [SSC CPO 23/11/2020 (Evening)]

Correct Answer: (c) 7.5
Solution: