$1.$ You are moving a large object $($F$1=550$#$)$ into a building $($as shown looking down. in a plan view to the right$).$ You decide to use an eyebolt anchored to a concrete backwall to help with the move. The arrow on the left $($F$1=550$#$)$ represents two wire ropes that pass from the large object through the eyelet. You have two winches. The smaller one is fixed in place and has a maximum capacity of F$2=150$# $($as shown on the top, right$).$ The bigger one is mounted to a truck bumper and can be moved to pull where you need it to within a limited range of the angle $$ The winch on the bumper has a limited capacity and is represented by the unknown force, P$.$

The anchor into the wall has a pullout

force capacity that requires you to limit the force to F$3=600$# as shown. Find the angle, and the force, P that will balance these forces but use the full pullout capacity of the anchor. Assume this is all in one horizontal plane