1.Suppose the performance of a pile foundation system is governed by the pile with the smallest capacity. The weakest pile associated with this foundation system follows a type III asymptotic distribution of the smallest value with epsilon=2 tons, a mean value of 15 tons and a coefficient of variation of 20%. Determine the probability that the weakest pile of this system will have capacity less than the design load of 10 tons.
2.When standing 10 feet from the base of a building, you measure that the bottom of a large window is at 45 degrees from the horizontal, while the top of the window is at an angle 60 degrees. How tall is the window?