Chris is at Six Flags looking at the Goliath roller coaster. Chris is 6 feet tall and is standing 27.26 feet away from the base of the roller coaster. He looks up to the top of the roller coaster with an angle of elevation of \displaystyle 82\degree82°. How tall is the roller coaster? Round your 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.)