Amber wants to see the village on the other side of a 9-foot wall. She can do this if she will place a 7-foot ladder such that the top of the ladder is 6 ft. high up the wall.

a) If she is to achieve this, how far from the wall should the foot of the ladder be?
b) What is the measure in degrees of the angle that the wall makes with the ladder?

(a) x^2 + 6^2 = 7^2

(b) sinθ = 6/7