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.
In ΔFGH, FH = 8ft, FG = 13ft, and m∠F = 72°
Find the length of HG. Round your answer to the nearest whole number
Show Work.
Please Answer.
1 answer