The Great Pyramid of Cheops has a square base with a length of 756 feet. Its height is 482 feet. If you walk straight up from the center of the north side to the top of the pyramid you have to climb an angle of degrees.
You decide to simplify your life and walk up along one of the ridges. Thus you have to climb only at an angle of degrees.
On your way up the ridge you walk a distance of feet.
Hint: For the first two parts draw right triangles and use an inverse trig function. For the third part just use the Pythagorean Theorem.