A $75.0 \mathrm{~kg}$ Ladder That Is $3.00 \mathrm{~m}$ Long Is Placed Against a Wall at an Angle Theta

Multiple Choice

A $75.0 \mathrm{~kg}$ ladder that is $3.00 \mathrm{~m}$ long is placed against a wall at an angle theta. The center of gravity of the ladder is at a point $1.20 \mathrm{~m}$ from the base of the ladder. The coefficient of static friction at the base of the ladder is 0.800 . There is no friction between the wall and the ladder. What is the minimum angle the ladder must make with the horizontal for the ladder not to slip and fall?

A) 40.55 degrees
B) 30.34 degrees
C) 26.57 degrees
D) 36.35 degrees
E) 46.52 degrees