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 formula is $c^2 = a^2 + b^2 - 2ab \cdot \cos(C)$, where $a = 33$, $b = 45$, and $C = 60^\circ$. Solving gives $c \approx 68$ 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°