10 points up if able. very appreciated

first we need to find the hypotenuse by using a^2 + b^2 = c^2 (where c is the hypotenuse and a and b are the other sides)

8^2 + 5^2 = 64 + 25 = 89, so c = sqrt89.

cosine is adjacent over hypotenuse: 8/sqrt89

rationalize the fraction: (8*sqrt89)/89

the answer is C.

461.176470588

Explanation:

2×56=112

112×420=47040

3×34=102

47040÷102=461.176470588