# ladder fault;

**Calculus**Level pending

A 17m ladder is resting against a wall . The bottom is initially 10 m away from the wall and is being pushed towards the wall at rate of \(\frac{1}{5}\)m/s . How fast is the top of the ladder moving up the wall after 15 seconds we start pushing .

Give answer as \(\lfloor1000 \text{rate at which top of ladder is moving up ahter 15 sec } \rfloor\)