An airplane is located at position (4, 5, 5) at noon and is traveling with velocity 400i + 500j - k kilometers per hour. The pilot spots an airport at position (24, 30, 0). How many minutes does the plane need to pass directly over the airport? Assume that the plane is flying over flat ground and that the vector k points straight up. (Use decimal notation. Round your answer to three decimal places if needed.) How high above the airport will the plane be when it passes? (Use decimal notation. Round your answer to three decimal places if needed.) minutes: height: km

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