a ladder is leaning up against a wall. The ladder is 8 feet long and is 3 feet away from the base of the wall. find the angle the ladder makes with the wall.

Answer 1

The ladder, ground, and wall form a rt. triangle:

r = 8Ft = hyp.
X = 3Ft = hor. side.
Y = Wall = ver. side.

cosA = X/r = 3/8 = 0.375.
A = 68 Deg.

B = 90 - 68 = 22 Deg. = Angle ladder makes with wall.