Question

Use law of cosines to solve for x, provide proofs. I don’t understand please help me

Answer 1

`x^\circ\approx32.037^\circ`

Explanation:

Given all sides of the triangle, the form of the Law of Cosines we'll want to use is
`\displaystyle \cos(A)=(b^2+c^2-a^2)/(2bc)` where a=25, b=38, and c=47:

`\displaystyle \cos(A)=(b^2+c^2-a^2)/(2bc)\\\\\cos(A)=(38^2+47^2-25^2)/(2(38)(47))\\\\A\approx32.037^\circ`