You walk $33 \mathrm {~m}$ to the north, then turn 60° to your right and walk another $45 \mathrm {~m} .$ How far are you from where you originally started?
A) 68 m
B) 39 m
C) 75 m
D) 35 m

Question

Quizplus · Accepted Answer

To find the distance from the starting point, use the law of cosines in the triangle formed. The angle between the paths is 120° (180° - 60°). The formula is $c = \sqrt{a^2 + b^2 - 2ab \cdot \cos(C)}$, where $a = 33$, $b = 45$, and $C = 120°$. Calculating gives $c \approx 68 \, \text{m}$.

You Walk 33 m33 \mathrm {~m}33 m To the North, Then Turn 60° to Your Right and 60°

You Walk $33 \mathrm {~m}$ To the North, Then Turn 60° to Your Right and 60°