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# Distance between coordinates watch

1. So I thought I’d use the formula to work out the distance between B and S but this is a non calc question and I get a lot of decimals so was wondering what my next step is?
2. (Original post by Y11_Maths)
So I thought I’d use the formula to work out the distance between B and S but this is a non calc question and I get a lot of decimals so was wondering what my next step is?
If the distances are in a certain ratio on a stright line, then so are the differences in the x-coordinates, and the differences in y-coordinates.

Should have covered that in your textbook - similar triangles.
3. (Original post by ghostwalker)
If the distances are in a certain ratio on a stright line, then so are the differences in the x-coordinates, and the differences in y-coordinates.

Should have covered that in your textbook - similar triangles.
Ok thanks
4. (Original post by ghostwalker)
If the distances are in a certain ratio on a stright line, then so are the differences in the x-coordinates, and the differences in y-coordinates.

Should have covered that in your textbook - similar triangles.
Hmm I still can’t quite figure it out, how can I use the coordinates?
5. (Original post by Y11_Maths)
Hmm I still can’t quite figure it out, how can I use the coordinates?
The ratio of the difference in the x-coordinates of T and B, to the difference in the x-coordinates of B and S, in 2:5.

Similarly for y.
6. (Original post by ghostwalker)
The ratio of the difference in the x-coordinates of T and B, to the difference in the x-coordinates of B and S, in 2:5.

Similarly for y.
Is my x coordinate for T 13?
7. To answe this:

1) Calculate the point B (it's practically given in the problem)
2) We know TB/BS = 2/5. You know the change in X within BS = 48-23 = 25. 25/5 x 2 = 10 meaning the change in X in TB = 10 which therefore means that 23-10 = 13. X coordinate is 13 (as you correctly mentioned)
3) Use a similar method to find the y value.
8. (Original post by Y11_Maths)
Is my x coordinate for T 13?
Yes.
9. Is my Y value 19?
10. (Original post by Y11_Maths)
Is my Y value 19?
Yep.
11. your x and y are correct

12. Thanks for the help everyone 🙂

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