Question
Part A The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 540 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 300 paces you see an opening through the woods. (Figure!) Which direction should you go to reach the treasure? ° west of north Submit My Answers Give Up Figure 1o Part B How far should you go to reach the treasure? Treasure 0? paces Yellow brick road Tree Submit My Answers Give Up
Explanation / Answer
Given,
Displacements, s = 540 j, s' = 130 i,
s" = 300 sin60° i + 300 cos60° j = 259.81 i + 150 j
Total displacment, S = s + s' + s" = 389.81 i + 690 j
Magnitude of displacement, S = [ 389.812 + 6902 ]1/2 = 792.50 paces
Direction, = tan-1 (690/389.81) = 60.54°
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