Pre cal question related to vectors

Question

After taking off from the landing pad, a helicopter flies 8 miles north, then 5 miles southwest. How far is the helicopter from the landing pad (s), and in what direction (θ) must it fly to head directly back to the landing pad?

s=

 and

θ=

 (0∘≤θ<360∘ where East is 0∘ and North is 90∘)

Answer 1

Draw and label a diagram!

Use Law of Cosines to determine distance.

Use Law of Sines to determine angle.