Find Coordinates of a Point: Angle, Distance & 1st Pt

In summary, the formula for finding the coordinates of a point using angle, distance, and the coordinates of a first point is x = x<sub>1</sub> + d * cos(θ) and y = y<sub>1</sub> + d * sin(θ), where x<sub>1</sub> and y<sub>1</sub> are the coordinates of the first point, d is the distance from the first point to the desired point, and θ is the angle between the x-axis and the line connecting the first point and the desired point. The distance should be in the same units as the coordinate system and the angle should be in radians or degrees. This formula can also be used
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gistech123
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  • #2


Do you know some trigonometry?
 
  • #3


x2 = x1 + d*cos A
y2 = y1 + d*sin A
 
  • #4


What kind of "maps" are you talking about. And what do you exactly mean by "accuracy" and "variations"?
 

1. What is the formula for finding the coordinates of a point using angle, distance, and the coordinates of a first point?

The formula for finding the coordinates of a point using angle, distance, and the coordinates of a first point is:

x = x1 + d * cos(θ)

y = y1 + d * sin(θ)

Where x1 and y1 are the coordinates of the first point, d is the distance from the first point to the desired point, and θ is the angle between the x-axis and the line connecting the first point and the desired point.

2. What units should be used for the distance and angle in the formula?

The distance should be in the same units as the coordinate system (e.g. meters, feet, etc.). The angle should be in radians or degrees, depending on the calculation method used.

3. Can this formula be used for polar coordinates?

Yes, this formula can be used for polar coordinates by converting the polar coordinates to Cartesian coordinates first. The angle would be converted to radians and the distance would remain the same.

4. What if the angle is negative or greater than 360 degrees?

If the angle is negative, simply add 360 degrees (or 2π radians) to it before using the formula. If the angle is greater than 360 degrees, subtract 360 degrees from it until it is within the range of 0 to 360 degrees (or 0 to 2π radians).

5. Are there any limitations to using this formula?

This formula assumes a two-dimensional coordinate system and cannot be used for three-dimensional or higher-dimensional systems. It also assumes that the angle is measured from the positive x-axis in a counterclockwise direction. Additionally, the accuracy of the formula may depend on the accuracy of the given angle and distance values.

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