A ladder $13$ feet long rests against the side of a house. The bottom of the ladder slides away from the house at a rate of $0.5$ ft/s. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is $5$ feet from the house?
- $\dfrac{5}{24} \text{ ft/s} \\$
- $\dfrac{5}{12} \text{ ft/s} \\$
- $-\dfrac{5}{24} \text {ft/s} \\$
- $-\dfrac{5}{12} \text{ ft/s}$