Answer
See below
Work Step by Step
Given: $A=25$ degrees
$b=10$
Thus, $C=90$
It is a right triangle. Hence, the sum of two non-right angles of a triangle is 90 degrees:
$B=90-A=90-25=65$ degrees
We know $\tan A=\frac{a}{b}\\
\rightarrow a=b\tan A=10\times \tan 25\approx 4.66$
Apply the Pythagorean theorem to find c:
$a^2+b^2=c^2\\c=\sqrt a^2+b^2\\c=\sqrt 10^2+(10\tan25)^2\approx11.03$