Two bicyclists, starting at the same place, are riding toward the same campground by two different routes.

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1080 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north for 1950 m and then turns and heads directly toward the campground. What direction (in degrees; measured relative to due east) must the second cyclist head during the last part of the trip?

 

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