While putting up a large poster on a building for a Mrs. Fields cookies advertisement, a painter at the top of a ladder asks her partner to push the base of the ladder towards the building so she can reach higher up the building.

The ladder is a 25 foot long ladder, and the base of the ladder is 24 feet away from the wall when the painter's partner starts pushing the base towards the wall at a rate of 0.7 feet per second. What is the rate at which the top of the ladder where the painter stands is going up the side of the building? In other words, what is the rate at which the top of the ladders height is increasing with respect to time? (round to two decimal places)