Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a direction 0₂ = 39.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum R = A + B. Give the direction in degrees south of west.) distance direction A+B=R 0 B 0₂ R m A y W 0₁ south of west N S E

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Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a direction 0₂ = 39.0° south of west. How far are you from your starting point, and what is the compass direction of
a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum R = A + B. Give the
direction in degrees south of west.)
distance
direction
A+B=R
B
0₂
R
m
A
YA
W
-0₁
° south of west
N
S
X
E
Transcribed Image Text:Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a direction 0₂ = 39.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum R = A + B. Give the direction in degrees south of west.) distance direction A+B=R B 0₂ R m A YA W -0₁ ° south of west N S X E
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