A roller coaster moves 4.2 m horizontally, then travels 6.9 m at an angle of 30º above the horizontal. What is the resultant displacement from its starting point?

starting at (0,0), it moves 4.2m

now at (4.2,0) it moves 6.9m at 30º, or (6.9 cos 30º, 6.9 sin 30º) = (5.98,3.45), ending up at (10.18,3.45)