Answer:
4.2 ft
Step-by-step explanation:
Given the equation for the Law of Cosines, we can rewrite the equation to solve for "c" directly:
[tex]c^2=a^2+b^2-2ab(cosC)\\c=\sqrt{a^2+b^2-2ab(cosC)}\\c=\sqrt{7^2+8^2-2(7)(8)(cos32)}\\c=\sqrt{49+64-2(56)(cos32)}\\c=\sqrt{113-112(cos32)}\\c=\sqrt{113-94.98138677}\\c=\sqrt{18.01861323}\\c=4.244833711\\c=4.2[/tex]
So the length of c is approximately 4.2 ft
