How do I find the treasure without encountering the angry dragon?

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To find the treasure while avoiding the dragon, start by determining the position vector from the old oak tree using the given directions. The initial movement is 550 paces north and 120 paces east, creating a position vector of (120, 550). After walking 400 paces at a 60-degree angle east of north, calculate the new position vector using trigonometric functions, resulting in approximately (200, 346.41). Finally, subtract the position vectors to find the distance and direction to the treasure from your current location. This approach will help navigate to the treasure without encountering the dragon.
sunbunny
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Hey, I'm completely stuck and lost on this problem.

The question is:

You are given a treasure map and it says "Start at the old oak tree, walk due north for 550 paces, then due east for 120 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 60 degrees east of north. After walking 400 paces you see an opening through the woods. Which direction should you go, and how far, to reach the treasure?

Note: the 60 degree angle is positioned at the stating position and the hypotenuse and the hypotenuse is the yellow brick road.

any help would be greatly appreciated! :)
 
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find the treasures distance in vector form, take north j and east as i.
Then also find the position vector of the place you reach through yellow bricks.
Suntract the position vectors. The way to fnd second pos vector is rcos at i and rsin at j
 
thanks a lot, i'll give that a try :)
 

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