To find x, we wil simply use the trigonometric ratio:
[tex]\cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]From the figure,
θ=63 adjacent=23 hypotenuse =x
substitute the values into the formula and solve for x
[tex]\cos 63=\frac{23}{x}[/tex]cross-multiply
[tex]x\cos 63=23[/tex]Divide both-side by cos63
[tex]x=\frac{23}{\cos 63}[/tex][tex]x\approx50.7[/tex]