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Mandarinka [93]
3 years ago
14

A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a

short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?

x≈_____ feet

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0
Consider the diagram. From SOH CAH TOA, you know that
  sin(65°) = (12.5 ft)/x
  x = (12.5 ft)/sin(65°)
  x ≈ 13.8 ft

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