To answer this question, we will use the trigonometric function tangent. Recall that in a right triangle:
[tex]\tan \theta=\frac{opposite\text{ leg}}{adjacent\text{ leg}}.[/tex]In the given triangle, θ=25°, adjacent leg=x, and opposite leg=10, therefore:
[tex]\tan 25^{\circ}=\frac{10}{x}.[/tex]Solving the above equation for x, we get:
[tex]x=\frac{10}{tan25^{\circ}}.[/tex]Simplifying the above result we get:
[tex]x\approx21.45.[/tex]Answer:
[tex]x\approx21.45[/tex]