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 530 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 60? east of north. After walking 400 paces you see an opening through the woods.

1) Which direction should you go to reach the treasure?

2) How far should you go to reach the treasure?

Explanation / Answer

Answer question

r1 = 130i+530j

r2 = 400*sin60i+400*cos60j=346.4i+ 200j

r1-r2 = -216.4i+330j
1) angle = tan^-1(330/-216.4) = 33.25 west of south

2) distance = sqrt(216.4^2+330^2)= 394.6 paces

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