An airplane leaves an airport and flies due west 170 miles and then 240 miles in the direction S 69.50°W. How far is the plane from the airport (round to the nearest mile)?

i dont get this at all

Question

An airplane leaves an airport and flies due west 170 miles and then 240 miles in the direction S 69.50°W. How far is the plane from the airport (round to the nearest mile)?	

i dont get this at all

carlyleukhardt · Answer

v = -(170 + 240 sin(69.5)) i - 240 cos(69.5) j .... is the resulting vector 
|| v || = √((170 + 240 sin(69.5))² + (240 cos(69.5))²) 
= 403.64892 mi 

Answer: 404 mi

anonymous · Answer

i have to use the law of cosines