Answer: The length of the other leg is 14.43 inches.
Step-by-step explanation: As shown in the attached figure below, triangle ABC is a right-angled triangle, where
∠ABC = 90°, ∠ACB = 30° and BC = 25 inches.
We are to find the length of the other leg, i.e., the length of AB.
Applying tangent ratio for angle ACB in triangle ABC, we have
[tex]\tan\angle ACB=\dfrac{perpendicular}{base}\\\\\\\Rightarrow \tan 30^\circ=\dfrac{AB}{BC}\\\\\\\Rightarrow AB=\tan30^\circ\times 25\\\\\Rightarrow AB=\dfrac{1}{\sqrt3}\times 25\\\\\\\Rightarrow AB=\dfrac{25}{1.732}\\\\\Rightarrow AB=14.43~\textup{inches}.[/tex]
Thus, the length of the other leg is 14.43 inches.
