A student stands on level horizontal ground away from the base of a vertical school flagpole. The angle of elevation from the student's eyes to the top of the flagpole is . If the student's eye level is above the ground, what is the total height of the flagpole?

Answer and explanation

Correct answer: C.

  1. Step 1: Set up the trigonometric ratio: . Since , the height above eye level is .
  2. Step 2: Add the student's eye level to obtain total height: .
Answer
.
Why not the others: '' omits the student's eye level; '' subtracts instead of adding; '' computes the hypotenuse ().

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