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A 15 m ladder just reaches the top of a vertical wall. The ladder makes an angle of 60° with the wall. How high is the wall?

Competition practiceTrigonometry
  • A7.5 m
  • B15√3/2 m
  • C15 m
  • D5√3 m

Step-by-Step Solution

The angle is with the wall, so the height is the adjacent side: 15 cos 60° = 7.5 m. (Using 60° with the ground would wrongly give 15√3/2 m.)
Answer: A) 7.5 m

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