K WO3-Post: 1D Motion and Vectors Item 8 The treasure map in the figure gives th

Question

K WO3-Post: 1D Motion and Vectors Item 8 The treasure map in the figure gives the following drecions to the buried treasure: "Start al the old oak tree, walk due north for 550 paces, then due east for 140 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 360 paces you see an opening hrough the woods (Figure 1) Part A Which direction should you go to reach the treasure? You may want to review (Page) For help with math skills, you may want to review Submit Request Answer For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of ectors Part B Figure How far should you go to reach the treasure? X Treasure 324 paces Submi Previous Answers Request Answer Yellow brick road × incorrect. Try Again; 5 attempts remaining Provide Feedback

Explanation / Answer

Destination is at (140,550)

When second path is used:

X = 360 cos30 = 311.8

Y = 360 sin30 = 180

So u have reached at (311.8, 180)

The distance between above two points is:

D = sqrt [(140 - 311.8)^2 + (550 - 180)^2] = 408.94

theta = tan^-1(370/-171.8) = -65 deg

Hence, D = 408.94 paces and theta = 65 deg NoW.

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