- #1
eeriana
- 15
- 0
Homework Statement
While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30degrees west of north, then 1.00 km 40.0 degrees north of east where you find a treasure. To return to the oak tree, in what direction would you walk and how far?
Homework Equations
The Attempt at a Solution
I thought that I did everything right, but can't seem to get the answer that they have in the back of the book. Any help would be appreciated.
R=A+B+C.
A = 270 degrees B= 120 degrees C = 50 degrees
Ax = Acos[tex]\Theta[/tex]= (825m)(cos 270) = 0
Ay = Asin [tex]\Theta[/tex]= (825)(sin270) =-825m
Bx= (1250m)(cos 120) = -625m
By= (1250) (sin 120) = 1082.53m
Cx=(1000)(cos50) = 642.78m
Cy=(1000)(cos 50) = 766m
Rx= 17.78m Ry = 1023.53 R= [tex]\sqrt{}(17.78^2)+(1023.53^2)[/tex] = 1023.68m
arctan (1023.53/17.78) = 89 degrees
The answer I come up with is 1023.7 m at 1 degree west of south.
The answer in the book is 911 m at 8.9 degrees w of s.
Thanks for the help!