In ΔFGH, FH = 8ft, FG = 13ft, and m∠F = 72°

Find the length of HG. Round your answer to the nearest whole number

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We can use the law of cosines to find HG:

HG² = FH² + FG² - 2(FH)(FG)cos(F)
HG² = 8² + 13² - 2(8)(13)cos(72°)
HG² = 64 + 169 - 208cos(72°)
HG² = 233 - 208cos(72°)
HG ≈ 5 (rounded to the nearest whole number)

Therefore, the length of HG is approximately 5 feet.