How Do You Determine George's Direction Relative to John in a Strawberry Field?

AI Thread Summary
To determine George's direction relative to John, the positions of John and Paul are established with John at the origin and Paul 16.0 m west. George is located 40.0 m from Paul, at an angle of 39.0 degrees south of east. The calculations show that George's coordinates relative to John are approximately 15.086 m east and 25.173 m south. The final distance from John to George is 29.35 m, and visualizing the scenario with a diagram can aid in understanding the triangular relationships involved.
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Homework Statement



John, Paul, and George are standing in a strawberry field. Paul is 16.0 m due west of John. George is 40.0 m from Paul, in a direction 39.0 ∘south of east from Paul's location.

A. How far is George from John? (Already Done)

B. What is the direction of George's location from that of John?

Homework Equations

The Attempt at a Solution


I did part A which is shown below, but how do I get part B?

John = -16i

i = (40)cos(39) = 31.086
j = (-40)sin(39) = -25.173

Paul = 31.086i -25.173j

G = P+J = (-16i)+(31.086i -25.173j)
= (15.086i - 25.173j)
= sqrt((15.086)^2+(-25.173)^2)
Part A = 29.35
 
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have you tried drawing it first?

its simply triangles.
 
Where is Ringo ?
 

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