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    Question

    At 9:30 a.m., the length of a pole’s shadow is equal

    to its height. What is the sun’s altitude at this time?
    A 65° Correct Answer Incorrect Answer
    B 45° Correct Answer Incorrect Answer
    C 25° Correct Answer Incorrect Answer
    D 60° Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, The pole’s height = h, and its shadow = h. In the right triangle formed: Opposite side = height of the pole (h). Adjacent side = shadow (h). Using the tangent function: Now, we Solve for θ :

    Hence, the sun’s altitude is 45° .

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