An airplane flies 190 miles from point A in the direction 140°

Question

An airplane flies 190 miles from point A in the direction 140° and then travels in the direction 225° for 60 miles. Approximately how far is the airplane from A? (Round your answer to the nearest whole number.)

Answer 1

Hi Zoe S.,

From the above diagram we can use the law of cosines to calculate AC = b.

b² = 190² + 60² - 2*(190)*(60)*cos(95^o)

b ≈ 204 miles

I hope this helps, Joe.