In the last storm, one of your trees started to fall over. You are going to tie a rope to one of the trees to help it stand upright again. You have 75 feet of rope that you tie 40 feet up the tree. When you stake it in the ground, it is 50 feet from the base of the tree. What is the angle created by the rope and the ground? (Round your answer to two decimal places)

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).