Calculating Distance and Direction Between John, Paul, and George

  • Thread starter oldspice1212
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In summary, John, Paul, and George are standing in a strawberry field. Paul is 16.0m due west of John and George is 40.0m from Paul, in a direction 38.0 degrees south of east from Paul's location. This forms a right triangle with George and John as the two legs and Paul as the hypotenuse. The distance between George and John is not given, and the direction of George's location from John's is not specified. To solve this problem, it is suggested to draw a vector diagram similar to the given figures and use trigonometric functions to find the missing information.
  • #1
oldspice1212
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John, Paul, and George are standing in a strawberry field. Paul is 16.0m due west of John. George is 40.0m from Paul, in a direction 38.0 degrees south of east from Paul's location.

How far is George from John?

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

Alright so where do I begin? :X
 
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  • #2
oldspice1212 said:
John, Paul, and George are standing in a strawberry field. Paul is 16.0m due west of John. George is 40.0m from Paul, in a direction 38.0 degrees south of east from Paul's location.

How far is George from John?

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

Alright so where do I begin? :X

This is position vector
http://imageshack.us/a/img7/8039/39832841.jpg
 
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  • #3
Piece of paper. Pencil. Connect the dots. What figure do you get?
 
  • #4
Figure 1
 
  • #5
It must indeed be a triangle, but is it a right triangle?
 
  • #6
Um yes? lol
 
  • #7
oldspice1212 said:
Um yes? lol

Correct, oldspice. The example demonstrates the right triangle.

Now, let's get back to the problem you need help with.

oldspice1212 said:
John, Paul, and George are standing in a strawberry field. Paul is 16.0m due west of John. George is 40.0m from Paul, in a direction 38.0 degrees south of east from Paul's location.

How far is George from John?

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

Alright so where do I begin? :X

Try drawing the vector diagram similar to the given figures one user showed to you, according to the info given.
 
  • #8
Sorry for the late reply, I will work on this question later today, and check back with you guys with my answer and if possible would like some feed back.

Thanks
 
  • #9
Tried today I can't do it :(
 

1. "What is the formula for calculating distance between John, Paul, and George?"

The formula for calculating distance between three points, such as John, Paul, and George, is the Pythagorean theorem. This formula states that the distance (d) between two points (x1, y1) and (x2, y2) is equal to the square root of the sum of the squared differences of their coordinates (d = √(x2-x1)^2 + (y2-y1)^2).

2. "How do you determine the direction from John to Paul and George?"

To determine the direction from John to Paul and George, you can use the concept of slope. The slope is the ratio of the change in the y-coordinates to the change in the x-coordinates. The direction can be expressed as an angle or as a direction (such as North, South, East, or West) based on the slope value.

3. "Can you calculate the distance and direction between John, Paul, and George if they are not on a flat surface?"

Yes, the formula for calculating distance and direction between points is applicable even if the points are not on a flat surface. However, in this case, the distance and direction may need to be calculated using three-dimensional coordinates instead of just two-dimensional coordinates.

4. "What are some factors that can affect the accuracy of calculating distance and direction between John, Paul, and George?"

Some factors that can affect the accuracy of calculating distance and direction between points are measurement errors, rounding errors, and the use of an incorrect formula or coordinate system. It is important to use precise measurements and the correct formula to ensure accuracy.

5. "Are there any tools or software available to help with calculating distance and direction between John, Paul, and George?"

Yes, there are various tools and software available for calculating distance and direction between points, such as GPS devices, mapping software, and online distance calculators. These tools use advanced algorithms and technology to accurately calculate and display the distance and direction between points.

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