The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 490 paces, then due east for 130 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle

east of north. After walking 330 paces you see an opening through the woods.

Which direction should you go to reach the treasure? (in degrees west of north)????

I first found the hypotenuse of the first right triangle with the sides 490 and 130. This was found to be 507. The angle opposite of the 130 (where the starting point is) was found to be 14.9 degrees.

I then drew a new triangle with sides 507, 330, and c. c is across from the 45.1 degree angle (60 - 14.9 = 45.1).

i used law of cosine to solve for c and found that to be 360.2

i then used law of sine to find the angle across from 507. This was found to be 85.6 degrees.

i found that the angle west of north was 49.3 degrees but this was incorrect?

Could i get some help with this please.

Thank you