A 10 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 6 ft from the wall and sliding away from the wall at the rate of 3 ft/sec? Hint: Refer to the accompanying figure. By the Pythagorean Theorem,

x² + y² = 100.

Find

dy

dt

when

x = 6

and

dx

dt

= 3.

(Round your answer to two decimal places.)