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    Question

    A vertical tower stands on a horizontal plane and is

    surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is and that of the top of the flag staff is Ī². Then the height of the tower is
    A h tan Ī± Correct Answer Incorrect Answer
    B htanĪ± / (tan Ī²āˆ’tanĪ±) Correct Answer Incorrect Answer
    C htanĪ± / (tanĪ±āˆ’tan Ī²) Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    Apply tan Ā  in āˆ†BCD Tan Ā  = x / K k = (x / tan ) ---- (1) apply tanĪ² in āˆ†ACD => tanĪ² = (Ä„+x) / K => K = (h + x) / (tanĪ²) ----- (2) Example like (1) and (2) => x / tan Ā  = (h+x) / tanĪ² => xtanĪ² = tan h + xtan => xtanĪ² ā€“ xtan Ā  = h tan => x(tanĪ² ā€“ tan ) = h tan => x = (h tan2) / (tanĪ² ā€“ tan )

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