A boat is heading towards a lighthouse, where Jack is watching from a vertical distance of 108 feet above the water. Jack measures an angle of depression to the boat at point A
A to be 9
∘
∘
. At some later time, Jack takes another measurement and finds the angle of depression to the boat (now at point
B
B) to be 66
∘
∘
. Find the distance from point
A
A to point
B
B. Round your answer to the nearest tenth of a foot if necessary.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)