The treasure map gives the following directions to the buried treasure: “Start at the old oak tree, walk due north for 502 m, then due east for 109 m. 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 62.8° east of north. After walking 291 m you see an opening through the woods.  Which direction should you go, and how far, to reach the treasure?

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
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The treasure map gives the following directions to the buried treasure: “Start at the old oak tree, walk due north for 502 m, then due east for 109 m. 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 62.8° east of north.
After walking 291 m you see an opening through the woods. 

Which direction should you go, and how far, to reach the treasure?

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