A parallelogram has side lengths of 4 and 6 and an angle of measure 55°.

Parallelogram P Q R S is shown. A diagonal with length x is drawn from point S to point Q. The length of P Q is 6 and the length of P S is 4. Angle S P Q is 55 degrees.

Law of cosines: a2 = b2 + c2 – 2bccos(A)

What is x, the length of the diagonal, to the nearest whole number?

3
5
6
7