1. Suppose a 10 ft. ladder is leaning against a house. The bottom of the ladder starts to slide away from the house. (a) (5 points) If the bottom of the ladder is 5ft from the house and moving awa}r at a rate of Bit/s, how fast is the top of the ladder falling? (b) (5 points) If the bottom of the ladder is 8ft from the house and the top of the ladder is falling at a rate of 1th / s, how fast is the bottom of the ladder sliding away from the house