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    Question

    A point P is 15 meters away from the base of a building.

    The angle of elevation to the top of the building is 60°, while the angle of elevation to the top of a flagpole on the building is 75°. Find the height of the flagpole if the height of the building is already 15√3 meters.
    A 30 m Correct Answer Incorrect Answer
    B 25 m Correct Answer Incorrect Answer
    C 20 m Correct Answer Incorrect Answer
    D 35 m Correct Answer Incorrect Answer

    Solution

    The total height to the top of the flagpole = h1 + h2, where h1 is the building's height and h2 is the flagpole's height. For the flagpole: tan 75° = (h1 + h2)/15. √3 + 2 = (15√3 + h2)/15. 15(√3 + 2) = 15√3 + h2. 15√3 + 30 = 15√3 + h2. h2 = 30. Correct answer: a) 30 m

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