Find direction angle of vector . Give direction angle as an angle in [0degrees,360degrees) rounded to the nearest tenth.

Question

I need help on this part of my homework.

Mark M. · Accepted Answer

<-2, -7> is in QIII.
tan θ = 7/2
tan θ = 3.5
tan-1 3.5 = θ
tan-1 3.5 = 74.054
 
Adjusting for QIII
 
254.054°

Find direction angle of vector <-2,-7>. Give direction angle as an angle in [0degrees,360degrees) rounded to the nearest tenth.