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A storm snaps a tree. The broken part bends over so that its top touches the ground 10 m from the foot, making an angle of 60° with the ground. How tall was the tree?

Competition practiceTrigonometry
  • A10(2 + √3) m
  • B10√3 m
  • C20 m
  • D10(1 + √3) m

Step-by-Step Solution

Broken part = 10 ÷ cos 60° = 20 m; standing part = 10 tan 60° = 10√3 m. Total = 20 + 10√3 = 10(2 + √3) m ≈ 37.3 m.
Answer: A) 10(2 + √3) m

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