BMAT 2019 Section 2 Question 24

A cross-country running track is in the shape of a regular pentagon. Competitors run clockwise around the track. When on the third leg of the course they run on a bearing of 110°. What bearing do they run on for the first leg?

Answer:


The easiest way to solve this would be to use a protractor on the pentagon diagram provided. Set the protractor in such a way that the line which represents third leg is at 110°. (such as in the diagram below)
Remember, bearings are taken from North. This means we must draw an imaginary line pointing towards north from which 110° would represent the third leg.
Then make a line pointing north from the end of the first leg (see diagram).
Now extend the line representing the first leg. (this extension is represented by the dashed line) Now, using the protractor, measure the angle between the line representing North and the dashed line. (remember, we have to measure it clockwise)
We should get approximately 326°.
Please remember, if you think solving questions like these is going you take a long time, move onto the other ones and come back to these.

Sami Qamar

I’m Sami Qamar. I’m a YouTuber, Blogger, and first year med student.

Leave a Reply