Question

Anna and Julia are at point P. Point Q is due North of point P. They disagree about the shortest route from P to Q. Anna walks on a bearing of 330°, and then changes to a bearing of 040°, which takes her straight to Q. Julia walks 3 km on a bearing of 0200, after which she walks on a bearing of 300°, which then takes her straight to Q. Who took the shorter route?
​

Answer 1

The Shorter route as per the bearing calculations is taken up by Julia.

What is a bearing?

• The angle from the north line, expressed in degrees, is the correct bearing to a given point. The real bearing will simply be referred to as the bearing.
• A point's bearing is the number of degrees inside the angle measured counterclockwise from the north line towards the line connecting the point and the compass's center.
• When describing the direction from one point in relation to another, a bearing is utilized.

Bearing calculations are illustrated below:

Route Taken up by Anna

360-330= 30°

First angle =90-30= 60°

Second angle= 60+(90-40) =110°

Third angle= 180-(110+30)= 40°

Route taken up by Julia:

First angle =20°

Second angle= 300-(180+20)=100°

Third angle=180-(20+100)=60°

Hence, the Shorter route as per the bearing calculations is taken up by Julia and bearing diagram is attached with the solution as an image.

Learn more about bearing here:

brainly.com/question/24142612

#SPJ9