to find x, we can use trigonometric ratios because the triangle is right(an angle of 90°)
I will use tangent
[tex]\tan (\alpha)=\frac{O}{A}[/tex]
where alpha is the angle, O the opposite side from the angle, and A the adjacet side from the angle different to the hypotenuse
so replacing
[tex]\tan (13)=\frac{x}{500}[/tex]
now, solve x
[tex]x=500\tan (13)[/tex]
and calculate
[tex]x=115.43[/tex]
the distance is 115.43 meters
