Answer
The distance from the starting point is 4.4 miles.
The direction from the starting point is an angle of $58.1^{\circ}$ north of east.
Work Step by Step
We can find the total east component of the sum of the three parts of the hike:
$0+(2.2~mi)~sin~35^{\circ} +(1.1~mi)~cos~15^{\circ} = 2.3~mi$
We can find the total north component of the sum of the three parts of the hike:
$1.6~mi+(2.2~mi)~cos~35^{\circ} +(1.1~mi)~sin~15^{\circ} = 3.7~mi$
We can find the distance $d$ from the starting point:
$d = \sqrt{(2.3~mi)^2+(3.7~mi)^2} = 4.4~mi$
We can find the direction north of east:
$tan~\theta = \frac{3.7~mi}{2.3~mi}$
$\theta = tan^{-1}(\frac{3.7~mi}{2.3~mi})$
$\theta = 58.1^{\circ}$
