Suppose that you are climbing a hill whose shape is given by http://webwork.asu.edu/webwork2_file...719c509491.png, and that you are at the point (90, 40, 300).

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

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

How to do 2) ?