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Rope, ramp, ladder, wire or kite string: its length from one side of the right triangle and the angle

This type of question, asked 5 times: 17 Sep 2025 S3, 18 Sep 2025 S2, 19 Sep 2025 S2, 19 Sep 2025 S3, 23 Sep 2025 S2. All 5 questions below, oldest first.

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  1. Question 1

    17 Sep 2025 S3

    59
    A taut wire supports a vertical pole. The wire is fixed to the ground 10 meters away from the base of the pole and makes an angle of 60∘60^\circ with the ground. What is the length of the wire?

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  2. Question 2

    18 Sep 2025 S2

    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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  3. Question 3

    19 Sep 2025 S2

    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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  4. Question 4

    19 Sep 2025 S3

    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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  5. Question 5

    23 Sep 2025 S2

    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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