From a point 40 m from the foot of a tower, the angle of elevation of the top is . How high is the tower (to one decimal place)?

Answer and explanation

Correct answer: D. m

  1. Step 1: The height is opposite the angle and 40 m is adjacent, so use the tangent. Step 2. m. **Answer: m. Why not the others:** uses the wrong angle, the sine is not the ratio of opposite and adjacent, and the last expression is the length of the line of sight.

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