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+### Statement
+
+$13.1.5.$ [Insert the problem statement]
+
+### Solution
+
+### Statement
+
+$13.1.15.$ The object is located on the main optical axis of the concave mirror at a distance of 60 cm from the mirror pole. Determine the focal length of the mirror, if the image of the subject is valid and enlarged by one and a half times.
+
+### Solution
+
+If image is enlarged by one and a half times,\
+$k = \frac{s'}{s}$ (1)\
+where $k$ = 1.5 is the magnification of the image, $s$ is the object-mirror distance and $s'$ is the image-mirror distance.\
+It's known that,\
+$\frac{1}{s}+\frac{1}{s'}=\frac{1}{f}$ (2)\
+From (1),\
+$s' = ks$ (3)\
+Putting (3) into (2):\
+$f = \frac{ks}{k+1} = 36\;\rm{cm}$
+
+#### Answer
+
+$f = 36\;\rm{cm}$
+
+#### Answer
+
+[Insert a concise answer or boxed result]