To get up on the roof, a person (mass 55.0 kg) places an aluminum ladder (mass 11.4 kg) against the house on a concrete pad with the base of the ladder 1.71 m from the house. The ladder rests on a plastic rain gutter, which we can assume to be frictionless. The gutter is 5.88 m from the bottom of the ladder. The center of mass of the ladder is 1.96 m from the bottom. The person is standing 2.96 m from the bottom of the ladder.
What are the magnitudes of the forces on the ladder at the top and bottom?

At bottom of ladder:
normal force =
friction force =

Magnitude of force on bottom of ladder =

At top of ladder, magnitude of normal force =