Treasure Map Vector Help: Solving Directions and Distance for Buried Treasure

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SUMMARY

The discussion focuses on solving a vector problem related to locating buried treasure based on specific directions. The initial instructions involve walking due north for 490 paces and then due east for 150 paces. However, due to an obstacle (a dragon), the user must adjust their path by walking 300 paces at an angle east of north. The key questions are determining the correct angle to reach the treasure and the total distance required.

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Vector Help!

Homework Statement


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 150 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 300 paces you see an opening through the woods.


Homework Equations


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

How far should you go to reach the treasure? (in paces)


The Attempt at a Solution



My attempts have just accumulated to be two pages of scribbling and 7 wrong answers. PLEASE HELP!
 
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Can you post a figure and show one of your attempts? I don't have any idea what the problem statement is saying.
 

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