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    Question

    From the top of a multi-storey building, the angle of

    depression to the top of a smaller building (which is 20 meters tall) is 45°. The distance between the two buildings is 15 meters. Find the height of the multi-storey building.
    A 25 m Correct Answer Incorrect Answer
    B 35 m Correct Answer Incorrect Answer
    C 45 m Correct Answer Incorrect Answer
    D 32 m Correct Answer Incorrect Answer

    Solution

    ATQ, Let AB be the multi- storey building and CD the small building. In triangle APC Therefore, the total height AB = AP+BP = 15+20 = 35 meters.

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