Help me with that

(7) A rectangle is to be inscribed in a right triangle having sides of length 6, 8, and 10 as shown. Find the dimensions of the rectangle with greatest possible area. (Show all steps you used to determine maximum is absolute) (15 points) (8) A rocket, rising vertically, is tracked by a radar station that is on the ground 5 miles from the launch pad. How fast is the rocket rising when it is 4 miles high and its distance from the radar station is increasing at a rate of 2000 miles/hr? (1 5 points)