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Slant height of sides of isosceles triangle

Question re slant height of ski lodge roof - isosceles triangle, base is 14 m. Vertical angle is 36 degrees. What would slant height of sides of roof (triangle) be, i.e., side AC or side BC?

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This solution is comprised of a detailed explanation to answer what would slant height of sides of roof (triangle) be, i.e., side AC or side BC.

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