Question Video: Finding a Bearing from One Point to Another | Nagwa Question Video: Finding a Bearing from One Point to Another | Nagwa

Question Video: Finding a Bearing from One Point to Another Mathematics

Find the bearing of 𝐵 from 𝐴.

01:20

Video Transcript

Find the bearing of 𝐵 from 𝐴.

Let’s begin by recalling what we understand by the word “bearing.” A bearing is a fancy way of measuring an angle. When we measure bearings, we remember three things. We first measure from north or from a north line. Once we’ve identified that north line, we measure in a clockwise direction. In navigation, we also use three digits to describe our bearing. Although depending on where you are in the world, when we’re not working with navigation problems, we’ll sometimes use two digits to represent a two-digit number or even include compass points.

The question wants us to find the bearing of 𝐵 from 𝐴, so we’re going to measure the bearing at 𝐴 using the rules we’ve given. Firstly, we identify the north line at 𝐴. We then travel in a clockwise direction until we hit the line segment that joins 𝐴 to 𝐵. According to our diagram, the angle that these two lines make with one another is 75 degrees. And so, if we were going to be following rule three, we would represent the bearing of 𝐵 from 𝐴 as 075. Now, of course, since this isn’t a navigation problem, the use of three digits isn’t quite as necessary. So, this might also be written as 75 degrees. The bearing of 𝐵 from 𝐴 then is 075 or 75 degrees.

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