A 10-ft wall stands 5 ft from a building and a ladder of variable lengthL, supported by the wall, is placed so it reaches from the ground tothe building. Letydenote the vertical distance from the ground towhere the tip of the ladder touches the building, and letxdenotethe horizontal distance from the wall to the base of the ladder.i. Find an expression for the heightyas a function ofx.ii. Find an expression for the lengthLas a function ofx.iii. Determine the domain and range of the functionL(x) found inpart (b).5