Hello, I have this problem on my most recent calculus homework.

I was hoping you could help me double check my answers-

Any response is greatly appreciated, thank you!

A child flies a kite at a height of 90 ft, the wind carrying the kite horizontally away from the child at a rate of 30 ft / sec. How fast must the child let out the string when the kite is 150 ft away from the child? The child must let out the string at a rate of ft / sec when the kite is 150 ft away from the child. (Simplify your answer.)