Quiz __   Names:

You are planning to carry a ladder horizontally down a corridor and around a right angle corner where two legs of the corridor are 3 meters and 2 meters wide.  What is the maximum length of the ladder?

Hint: Think about where a ladder that is too long gets stuck!

a)  Sketch a picture.
b)  Make up some variables and write them on the sketch.
c) Make up a relevant function.
d) Plot the function.
e) Find the max/min of the function and explain what it has to do with the ladder.

ListPlot[
{{0, 0},  {10, 
          10}}, 
Frame -> 
        True, 
GridLines -> {Table[i, {i, 0, 10}], 
          Table[i, {i, 0, 10}]}
]