In which direction (unit vector) should you proceed initially in order to reach the top of the hill fastest?

( , )

If you climb in that direction, at what angle above the horizontal will you be climbing initially (radian measure)?

Question:

# Suppose that you are climbing a hill whose shape is given by , and that you...

In which direction (unit vector) should you proceed initially in order to reach the top of the hill fastest?

( , )

If you climb in that direction, at what angle above the horizontal will you be climbing initially (radian measure)?