A rescuer is trying to save a cat at the very top of a tree. The height of the tree is 35 feet. A rope is thrown to the top of the tree at a 25° angle from a tether on the ground. 1. Draw a diagram to model the problem.

2. What is the length of the rope needed to meet the tree? Show all work and label the answer. Round to the nearest tenth, if needed.

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.