The look-out point of a lighthouse is 50 feet above sea level. a woman observes a boat in the water from the look-out point. the angle of depression to the boat in the water is 20°. what is the distance from the base of the light house to the boat in the water? round the answer to the nearest foot.

(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.)