The treasure map in the figure gives the following directions to the buried trea

Question

The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 520 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? east of north. After walking 350 paces you see an opening through the woods.(Figure 1)

Part A

Which direction should you go to reach the treasure?

Part B

How far should you go to reach the treasure?

Explanation / Answer

so we want net x = 120

and net y = 520

so

350*sin(60 degrees) + x = 120

x = 120 - 350*sin(60 degrees)= -183.1

y = 520 - 350*cos(60 degrees)= 345

direction = arctan(y/x) = arctan(345/-183.1)=117.96 degrees

b)

mag = sqrt( 183.1^2 + 345^2)= 390.58

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