1. The problem statement, all variables and given/known data I already know the answer, and know "how" to get the answer to this problem: A 10 foot ft ladder leans against a wall at an angle θ with the horizontal [ground], as shown in the accompanying figure (the figure is of a ladder leaning against a wall). The top of the ladder is x feet above the ground. If the bottom of the ladder is pushed toward the wall, find the rate at which x changes with respect to θ when θ = 60 degrees. Express the answer in units of feet/degree. My question is: I understand that a rate is a derivative. And derivatives are expressed as tangent lines to a function on a graph. So I am wondering how this ladder problem would be expressed on a graph. Could it be expressed on the cartesian coordinate system? What would it look like? What would the x coordinates and y coordinates be?