X^2=7^2+8^2-2 (7) (8) (cos32)

x ≈4.244833711

Step-by-step explanation:

x^2=7^2+8^2-2 (7) (8) (cos32)

Determine the powers

x^2=49+64-2 (7) (8) (cos32)

Multiply from left to right

x^2 = 49+64 - 112cos32

x^2 = 49+64 - 94.98138677

Add and subtract

x^2 = 113-94.98138677

x^2 = 18.01861323

Take the square root of each side

sqrt (x^2) = sqrt (18.01861323)

x = sqrt (18.01861323)

x ≈4.244833711

x^2 = 113