Question

    From a point on the ground, the angle of elevation to the top of a building is 30 degrees. If the distance between the point and the base of the building is 50 meters, find the height of the building (use √3 = 1.732).

    A 25 m Correct Answer Incorrect Answer
    B 28.87 m Correct Answer Incorrect Answer
    C 35.64 m Correct Answer Incorrect Answer
    D 43.3 m Correct Answer Incorrect Answer

    Solution

    Let the height of the building be h. Using tan 30 degrees = h/50 and tan 30 degrees = 1/√3 = 1/1.732, h = 50 * (1/√3) = 50 * 0.577 = 28.87 m. Correct Answer: b) 28.87 m

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