Verified answer

You might need a calculator for this.

move all the integers on one side or simplify first

if we simplify first, we get

30^2=24^2 + 47^2 - 2(24)(47) * Cos B

900 = 2785 - 2256 * cos B

subtract 2785 on both sides

-1885 = -2256 * cos B

divide both sides by -2256

1885/2256 = cos B

B = cos^-1(1885/2256) meaning cosine inverse of 1885/2256

B = .58166 radians or 33 degrees; this is where the calculator part comes handy