A friend has some friends who own a tree farm in Foster. This

Question

summer they cleared away all the trees that were within a 50m
distance from their house. This meant that their house was safer if
a fire started, as well as the fact that they now get more sun in winter – at the time the sun makes it through the clouds! There was one very big tree located between the house and the garage that was very tricky to fell. The tree was leaning at an 8° angle with respect to the vertical towards the garage. The center of mass of the tree was 1/3 of the way from the base of the tree. The entire tree was 66ft tall and weighed 4200kg. In order to prevent the tree falling on the garage, Steve climbed up the tree and attached a rope 6m of the ground. The other end of the rope was attached to a caterpillar on a hill resulting in the rope being parallel to the horizon. The caterpillar would start pulling as soon as Steve had made appropriate cuts thanks to his wife in the caterpillar patiently waiting for the signal to pull. This meant that the tree would fall the other way, and not on the garage. Steve did not want a stump and made the cut right on the ground.

a) How much tension would the caterpillar have to apply so that the tree falls away from the garage?
b) The safe working load for the rope is 8000N. Will the rope be safe to be used again (i.e. if the tension during the felling does not exceed the safe working load) after Steve has successfully felled the tree, or should he climb higher?