Find the X and Y point in the graph

In summary, the first step in solving this problem is finding the length of the line between the two points. This can be done using the sine function. Next, you need to find the gradient of the line. This can be done using the pythagoras theorem. Once you have found the gradient, you can use it to find the angle between the line and the y-axis.
  • #1
prasantha60
1
0

Homework Statement



In the graph i know the (X,Y) position of the point A , i know the Distance between point A and B , i know the angle also . how can i find the position (X,Y) of point B ?


Homework Equations





The Attempt at a Solution

 
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  • #2
prasantha60 said:

Homework Statement



In the graph i know the (X,Y) position of the point A , i know the Distance between point A and B , i know the angle also . how can i find the position (X,Y) of point B ?

Look up how to find the length of a line given two points and how to find the gradient of a line.

(Hint: the gradient of a line is also the same as the tangent of the angle that the lines makes with a horizontal line)
 
  • #3
You know what angle? If you know the angle the line through A and B makes with the horizontal (x-axis), which is what rock freak667 assumes, then draw the horizontal at A, the vertial at B and look at the right triangle you have drawn! The x difference between and B is the "near side", the y difference between A and B is the "opposite side", and the straight line from A to B is the "hypotenuse".
 
  • #4
Well, it depends a lot on the angle. Take the distance between a and b to be 'h' cm and the angle to be 'θ'.
Also note that 'r' cm is negative if B is to the left of A,or below A, and is positive if B is above or to the right of A. Similarly, θ is negative if B is to the left of point A.
The sine of angle θ will tell give you a good idea because since you know the hypotenuse(h cm), you can determine the horizontal difference and then using a cosine(or pythagoras theorem) you can derive at the vertical difference. So, if
[itex]A=[x,y][/itex]

[itex]B=[x+h*sin(θ),y+h*cos(θ)][/itex]

So similarly, to find the value of of 'h' if you know the positions of A and B, use simple inverse trignometry to define 'r'. You can define all unknown values with knowledge of every other value. if you are finding it hard to remember, just draw a right-angle triangle to make sense of it.
Note: Angle θ is obtained by drawing a line parallel to the y-axis to the x-axis.
_______________
This will help a lot:
α β γ δ ε θ λ μ ν π ρ σ τ η φ χ ψ ω Γ Δ Θ Λ Π Σ Φ Ψ Ω
∂ ∏ ∑ ← → ↓ ↑ ↔ ⇐⇑⇒⇓⇔
± − ÷ √ ∫ ½ ∞∴ ~ ≈ ≠ ≡ ≤ ≥ ° ∇∝
 
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  • #5
You aren't replying? So I guess you have managed to solve it.
 
  • #6
EDIT: Oops!
 
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  • #7
Dude. I responded yesterday. And I wrote this today. Look properly.
 
  • #8
The posts are over one day apart lol
 
  • #9
Ashwin_Kumar said:
The posts are over one day apart lol
Hi Ashwin_Kumar ! I see that your relatively new to PF ... Welcome!

Yes ! This sort of thing (the Original Poster not returning or acknowledging answers) happens all too often.

Thanks for helping user prasantha60 and don't let this discourage you. Keep helping where & when you can !

SammyS
 

Related to Find the X and Y point in the graph

1. How do I find the X and Y point on a graph?

To find the X and Y point on a graph, you need to locate the coordinates of the point on the X and Y axis. The X coordinate is the horizontal value and the Y coordinate is the vertical value. Once you have located the coordinates, you can plot them on the graph to find the point.

2. What is the importance of finding the X and Y point on a graph?

Finding the X and Y point on a graph is important because it allows us to visually represent and interpret data. It helps us understand the relationship between two variables and make informed decisions.

3. How can I find the exact coordinates of a point on a graph?

To find the exact coordinates of a point on a graph, you can use a ruler or a protractor to measure the distance from the origin (0,0) to the point. You can also use the equation y = mx + b, where m is the slope and b is the y-intercept, to calculate the coordinates.

4. Can I find the X and Y point on a graph without plotting it?

No, you cannot find the X and Y point on a graph without plotting it. The purpose of a graph is to visually represent data and show the relationship between variables. Without plotting the point, you will not be able to accurately determine the coordinates.

5. How do negative numbers affect finding the X and Y point on a graph?

Negative numbers do not affect finding the X and Y point on a graph. The X and Y axis are used to represent positive and negative values, so you can still locate and plot points with negative coordinates on the graph.

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