Question

Bob hikes 4.3 miles on a bearing of N13°W and then 1.8 miles on a bearing of S77°W Determine the bearing from the trailhead to the final destination.

Answer 1

Firstly, let us represent the bearings on a diagram;

From the diagram, we can find the value of d using pythagoras theorem. since it forms a right angled triangle.

$\begin{gathered} d^2=4.3^2+1.8^2 \\ d=\sqrt[]{(4.3^2+1.8^2)} \\ d=\sqrt[]{(18.49+3.24)} \\ d=4.66\text{ miles} \end{gathered}$

Therefore, the distance of the final destination from the trailhead is;

$4.66\text{ miles}$