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    Question

    A man is standing at a point 40 meters away from a

    tower. The angle of elevation of the top of the tower from the point is 45°. After walking 20 meters towards the base of the tower, the angle of elevation becomes 60°. Find the height of the tower.
    A 40 meters Correct Answer Incorrect Answer
    B 20√3 meters Correct Answer Incorrect Answer
    C 20 meters Correct Answer Incorrect Answer
    D 40√3 meters Correct Answer Incorrect Answer

    Solution

    Let the height of the tower be h. Using tan(45°) = height / distance from the tower tan(45°) = h / 40 Since tan(45°) = 1, we get: h = 40 meters. Correct answer: a

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