Siegfried decides to fly to Honolulu, Hawaii from Seattle, a distance of 2,678 miles. His plane travels at 557 miles per hour. 2 hours and 15 minutes after he leaves Seattle, he discovers he has been flying 0.75 degrees off course. How far away from Honolulu is he at this time? Please use the law of cosines when determining your answer.

Give your answer accurately to one decimal place. Siegfried is how many miles away from Honolulu?