(Solved): A ladder \( a=9 \mathrm{~m} \) long is leaning against a wall. If the lower end of the ladder slide ...

A ladder \( a=9 \mathrm{~m} \) long is leaning against a wall. If the lower end of the ladder slides away from the wall at the rate of \( b=0.5 \mathrm{~m} / \mathrm{s} \), at what rate is the inclination \( \theta \) of the ladder with respect to the ground changing when the lower end is \( 5 \mathrm{~m} \) from the wall? (Use symbolic notation and fractions where needed.) \( \frac{d \theta}{d t} \)