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Single angle of elevation at a known distance: find the height

This type of question, asked 2 times: 8 Aug 2022 Tier II, 3 Mar 2023 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    8 Aug 2022 Tier II

    80
    An person 1.8 metre tall is 30330\sqrt{3} metre away from a tower. If the angle of elevation from his eye to the top of the tower is 30 degree, then what is the height (in m)of the tower?

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  2. Question 2

    3 Mar 2023 Tier II

    11
    The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60∘60^\circ. Find the height of the building.

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