Question

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

Answer 1

x ≈4.244833711

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