A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram above. The light will shine down to the opposite edge of the Skywalk indicated with the star in the diagram above. How tall does the light tower need to be if the angle of depression is 51°?

(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.)