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Heights and Distances

SSC CGL Quant. Try each one first, then open its answer.

Top 10 SSC CGL PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 5 times: 17 Sep 2025 S3, 18 Sep 2025 S2, 19 Sep 2025 S2, 19 Sep 2025 S3, 23 Sep 2025 S2. This one: 23 Sep 2025 S2 See all 5 of this type

    55
    A kite is soaring at an altitude of 75 meters above the ground, with its string temporarily secured to a point on the ground. The angle of elevation of the string relative to the ground is 30 degrees. Given that the string remains taut, what is the length of the string?

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  2. Question 2

    This type asked 4 times: 18 Sep 2025 S1, 18 Sep 2025 S3, 24 Sep 2025 S3, 26 Sep 2025 S2. This one: 26 Sep 2025 S2 See all 4 of this type

    54
    The angles of elevation of the top of a cliff from two points on the ground, 200 m apart, and on opposite sides of the cliff, are 30∘30^\circand 45∘45^\circ. What is the height of the cliff?

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  3. Question 3

    This type asked 4 times: 17 Jul 2023 S4, 17 Sep 2025 S1, 18 Sep 2025 S2, 19 Sep 2025 S1. This one: 19 Sep 2025 S1 See all 4 of this type

    59
    A tower is 20 meters tall. What is the length of the shadow cast by the tower when the sun's elevation is 45∘45^\circ?

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  4. Question 4

    Asked 3 times: 18 Sep 2025 S1*, 18 Sep 2025 S3*, 24 Sep 2025 S3 (* = numbers or wording changed that year) See all 3 times it was asked

    54
    Two ships positioned on opposite sides of a lighthouse observe the angles of elevation to the top of the lighthouse, which are 30∘30^\circ and 45∘45^\circ respectively. Given that the height of the lighthouse is 100 meters, determine the distance between the two ships.

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  5. Question 5

    Asked once: 19 Sep 2025 S3 (same type asked 5 times) See all 5 of this type

    59
    A ladder reaches a window 8 meters high on a vertical wall. If the ladder is positioned at a 45∘45^\circ angle to the ground, what is its length?(nearest to a whole number)

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  6. Question 6

    Asked once: 18 Sep 2025 S2 (same type asked 4 times) See all 4 of this type

    65
    A tower generates a shadow that is 40 meters long when the sun's angle of elevation is 45 degrees. What is the height of the tower?

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  7. Question 7

    Asked once: 19 Sep 2025 S2 (same type asked 5 times) See all 5 of this type

    60
    A wheelchair ramp needs to reach a platform that is 1.5 meters high. If the ramp is designed to make an angle of 30∘30^\circ with the level ground, what is the length of the ramp?

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  8. Question 8

    Asked once: 17 Sep 2025 S1 (same type asked 4 times) See all 4 of this type

    59
    A flagpole has a shadow measuring 10 meters. Given that the height of the flagpole is 10310\sqrt{3} meters, What is the angle at which the sun is elevated?

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  9. Question 9

    Asked once: 18 Sep 2025 S2 (same type asked 5 times) See all 5 of this type

    59
    A rock climber uses a rope to ascend a cliff. If the vertical height of the cliff is 35 meters and the rope makes an angle of 30∘30^\circ with the level ground, what is the minimum length of the rope required to reach the top?

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  10. Question 10

    Asked once: 17 Jul 2023 S4 (same type asked 4 times) See all 4 of this type

    56
    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∘30^\circ. At what approximate distance (in metres) is the person standing away from the building.

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