nkVision HW AC HW AC Chapters ltem 10 The treasure map in the figure gives the f

Question

nkVision HW AC HW AC Chapters ltem 10 The treasure map in the figure gives the following directions to the buried breasure "Star at the old oak tree. walk due north for 540 paces when you arrive, you find an angry dragon just north of the tree To avoid the dragon, you set off along he yelow brick road at an angle a eer walking 310 paces Part A , then due east for 120 paces Dig But Which direction shoulf you go to reach the treasure? you see an opening though the woods (Figure 1) 60.8 X incorrect one mperemaining: Try Again Part B to reach the ae 1083 Figure X Incorreet, Try Apain: amempts remaining Yellow brikk road Type here to search enoVO

Explanation / Answer

Location that you want to arrive at is: (120, 540)

Using the alternate path:

X: 310 cos (90 - 60) = 268.47

Y: 310 sin (90 - 60) = 155

So to reach treasure, you will need to travel a distance of:

D^2 = (120 - 268.47)^2 + (540 - 155)^2

D = 413 paces

Direction:

tan (theta) = (Y/X)

theta = arctan(Y/X)

theta = arctan(395 / -148.47)

theta = -69 or 21 West to North

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