The treasure map in the figure gives the following direction to the buried treas
ID: 1409313 • Letter: T
Question
The treasure map in the figure gives the following direction to the buried treasure. "Start at the old oak tree, walk due north for 490 paces, then due east for 110 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 60degree east of north. After walking 360 paces you see an opening through the woods. You may want to review. For help with math skills, you may want to review: Which direction should you go to reach the treasure? How far should you go to reach the treasure?Explanation / Answer
Let due north be positive y-direction
Let due east be positive x-direction
Location that you want to arrive at is: (110, 490)
Using the alternate path:
X: 360 cos (90 - 60) = 311.76
Y: 360 sin (90 - 60) =180
So to reach treasure, you will need to travel a distance of:
D^2 = (110 - 311.76)^2 + (490 - 180)^2
D = 369.87 paces
Direction:
Tan (theta) = (Y/X)
theta = arctan(Y/X)
theta = arctan(310 / -201.76)
theta = -56.94* or 57* North of West
Answer: 369.87 paces; direction: 57* North of West
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