Question 1192854
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I don't know what you did to "find one side"; and I don't know how the law of cosines would be used in solving this problem....<br>
The displacement from the starting point (8,5) is 12 units in a direction 25 degrees above the horizontal.  The displacements in the x and y directions are 12*cos(25) and 12*sin(25), respectively.  The new coordinates are<br>
x: {{{8+12*cos(25)}}} = 18.88 to 2 decimal places
y: {{{5+12*sin(25)}}} = 8.07 to 2 decimal places<br>
ANSWER (to 2 decimal places): (18.88, 8.07)<br>