Four towns are situated in such a way that town Q is 500km on a bearing of 120º from P. Town R is 240km on a bearing of 210º from town P, while town S is due north of town Q and due east of town P.
a) Draw a sketch diagram showing the relative positions of P, Q, R and S.
so, did you draw the diagram?
Don't know how to do it
Can you help
unknown
To draw a sketch diagram showing the relative positions of P, Q, R, and S, you can follow these steps:
1. Start by drawing a point and labeling it as P. This will represent town P.
2. From point P, draw a line segment of 500 km in the direction of a bearing of 120º. This line segment will represent town Q. Make sure to measure and mark 500 km accurately on your sketch.
3. Next, from point P, draw a line segment of 240 km in the direction of a bearing of 210º. This line segment will represent town R. Again, ensure that the length is accurate.
4. Now, draw a line segment horizontally from point Q. This line segment will be the same length as the line segment between points P and R. Label the end point of this line segment as S. Town S is due north of town Q.
5. Finally, draw a vertical line segment from point P to meet the line segment representing town S. This line segment will be the same length as the line segment between points P and Q. This represents that town S is due east of town P.
Your sketch diagram should now show the relative positions of towns P, Q, R, and S with their respective distances and bearings.