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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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