The treasure map in the figure gives the following directions to the buried trea

Question

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 150 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 380 paces you see an opening through the woods.

Which direction should you go to reach the treasure? Answer should be in degrees west of north.

How far should you go to reach the treasure? Answer is in paces.

Explanation / Answer

let i be unit vector in east and j be north

550 i + 150 j + 380cos(30 degrees) i + 380 sin(30 degrees)j

=879.089 i +340j

magnitude=sqrt(879.089^2 +340^2)=942.55 paces

direction=-21.145 degree west of north or 21.145 degree east of north

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.