Barfield is 7km north and 8km east of Westgate. The bearing to get from Westgate to Barfield is 041.2, and Lauren sails at a bearing of 043. She stops when she is due North of Barfield. How far away is she from Barfield?
PLEASE HELP!
I am struggling with a bearings question that came up on a recent ks3 homework sheet, and having not done bearings for over a year, I cannot recall the information needed to compete it. Any advice is appreciated!
Thanks, Roman.
PLEASE HELP!
I am struggling with a bearings question that came up on a recent ks3 homework sheet, and having not done bearings for over a year, I cannot recall the information needed to compete it. Any advice is appreciated!
Thanks, Roman.
1 Answer
After flipping the coordinates of Barfield to I think fix the problem, I get
Explanation:
I spent a week in Barfield one night.
This problem seems a bit misstated. If Barfield was 7 km north, 0 km east of Westgate, that would require a bearing, usually meaning the angle relative to due north, of
Let's start with a figure. I'll use the cartesian plane like a map, with up being north and right being east. I put Westgate at the origin
Then I drew a point
.
According to the picture:
We can check that with a calculator
It seems if we've understood bearings correctly our restatement was correct.
The distance we seek is
That was a pretty good guess drawing