An army tank division leaves base and travels 30 miles at 30° S of W and then turns and travels 70 miles at 10° N of W. What is their total displacement from base at the end of the trip?

the answer i got is 94.96,
what did you get?

2 answers

30 at W30°S takes them (-25.98,-15.00)
70 at W10°N takes them (-98.48,+17.36)
add them to get (-124.46,2.36)
That's 124.48 at W1.08°N

since we disagree, better check my math.
this is what you got: 70 at W10°N takes them (-98.48,+17.36)

but on a coordinate grid system, wouldn't 10 degrees N of W mean 170 degrees?
so shouldn't the second part be <70 cos 170, 70 sin 170>
the first part is the same, but the second part is different, so im not sure who's right