Question

The Blue Team has the option of skipping this checkpoint and traveling to another checkpoint that is 6 miles north and 4 miles west of their current position. What's the bearing 0 (in degrees) the Blue Team should use to find this alternate checkpoint? Round your answer to two decimal places.

Answer 1

Let's draw the figure. Rough sketch is shown below:

The black circle is the starting point.

Then we go 6 miles North and then 4 miles West to the ending point.

The bearing travelled is labeled "x".

We need to find the value of x.

With respect to the angle x, we can say that we have the opposite side (4) and the adjacent side(6).

Which trig ratio relates opposite with adjacent?

It's tan!

Now let's find x:

$\begin{gathered} \tan (x)=\frac{4}{6} \\ x=\tan ^{-1}(\frac{4}{6}) \\ x=33.69\degree \end{gathered}$

The bearing is 33.69 degrees. >>>>> (Answer)