Part A The treasure map in the figure gives the following directions to the buri

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 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 400 paces you see an opening through the woods. (Figure 1) Which direction should you go to reach the treasure? o west of north You may want to review (Page 65) For help with math skills, you may want to review: Submit Figure 1 of 1 X Incorrect; Try Again: 3 attempts remaining Part B × Treasure How far should you go to reach the treasure? Yellow brick road paces Tree

Explanation / Answer

Here let east is the positive x direction and north is the positive y direction

part A)

let the displacement needed is d

550 j + 140 i = 400 * (sin(60) i + cos(60) j) + d

solving for d

d = - 206 i + 350 j

direction of displacement = arctan(206/350) degree

direction of displacement = 30.5 degree west of north

the direction in which he should move is 30.5 degree west of north

part B)

distance = sqrt(206^2 + 350^2)

distance = 406 m

the distance moved is 406 m  

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