Nicholas1998 Nicholas1998

01-05-2018
Mathematics

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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

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sqdancefan sqdancefan

01-05-2018

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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