A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (BC) is 7 meters less than the distance between the top of the ladder and the ground (AB). Use this information to perform the following tasks. Part A: Create an equation that models the length of the ladder (l) in terms of x, which is the length in meters of AB.

Part B: If the length of the ladder is 13 meters, use the equation you wrote to find the distance between the ground and the top of the ladder (AB).

Part C: Create a new situation that you can model using the same equation.