Answer:
N 73.3° W
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:
[tex]\begin{gathered} \tan \theta=\frac{\text{Opposite}}{\text{Adjacent}} \\ \implies\tan x=\frac{1.5}{5} \end{gathered}[/tex]
Solve for x:
[tex]x=\arctan (\frac{1.5}{5})=16.7\degree[/tex]
Therefore, your bearing from your house is:
[tex]N(90\degree-16.7\degree)W=N73.3\degree W[/tex]
