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I will assume the sail is shaped like a triangle- actually a right triangle.

like: |\

82.5 | \ 90.3

........|__\

..........B where B is the length along the boom.

If this is true, then you can use a2 + b2 = c2 to solve the problem

82.52 + B2 = 90.32

B2 = 90.32 - 82.52

B = square root of (90.32 - 82.52)

B = square root of (8154.09 - 6806.25)

B = square root of (1347.84)

B = 36.712940497868050776203213584964

B would be about 36.7 feet (if you use significant figures)

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Q: The length of the largest sail along the mast is 82.5 feet The length of the diagonal portion of the sail is 90.3 feet What is the length of the sail along the boom Answers are rounded to the near?
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