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    Question

    Two poles are 30 meters and 50 meters high, and the

    distance between their bases is 20тИЪ3 meters. Find the angle of elevation of the top of the taller pole as seen from the top of the shorter pole.
    A 15┬░ Correct Answer Incorrect Answer
    B 30┬░ Correct Answer Incorrect Answer
    C 45┬░ Correct Answer Incorrect Answer
    D 60┬░ Correct Answer Incorrect Answer

    Solution

    Let the height difference between the poles be 50 - 30 = 20 meters and the horizontal distance between them be 40 meters. Using the formula: tan(theta) = opposite/adjacent = 20/20тИЪ3┬а = 1/тИЪ3 So theta = 30┬░ Correct option: b) 30┬░

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