Calculate the bearing from 𝑂 to 𝐴. Circle your answer. Is it 060, is it 090, is it 120, or is it 300 degrees?
There are three bits of information we need to remember when working with bearings. We always measure it from the north line and we always go in a clockwise direction. Finally, we always write our numbers in three digits.
That means that 060 is 60 degrees. We’ve added a zero at the front to make sure it has three digits, same with 090.
We need to work out the bearing from 𝑂 to 𝐴. Since we’re measuring from 𝑂, we’re going to use the north line drawn at 𝑂. We’re then going to measure in a clockwise direction until we hit the line that joins 𝑂 to 𝐴.
We know that the angle between the north line at 𝑂 and the line 𝑂𝐵 is 90 degrees. And we also know that the reflex angle between the lines 𝑂𝐵 and 𝑂𝐴 is 210 degrees. We can find then the bearing from 𝑂 to 𝐴 by adding these two values. It’s 210 plus 90. 210 plus 90 is 300.
So we can see that the bearing from 𝑂 to 𝐴 is 300 degrees.