Question

You leave your house and run 5 miles due west followed by 1.5 miles due north. At that time, what is your bearing from your house?

Answer 1

N 73.3° W

Step-by-step explanation:

The diagram representing this problem is drawn and attached below:

In order to find the bearing of the current location from your house, we first need to find the value of angle x.

Using trigonometric ratios:

`\begin{gathered} \tan \theta=\frac{\text{Opposite}}{\text{Adjacent}} \\ \implies\tan x=(1.5)/(5) \end{gathered}`

Solve for x:

`x=\arctan ((1.5)/(5))=16.7\degree`

Therefore, your bearing from your house is:

`N(90\degree-16.7\degree)W=N73.3\degree W`