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)? Image of a triangle with legs of 170 and 240 miles and a hypotenuse with unknown length. The points on the ends of the hypotenuse are entitled airport and plane. The angle opposite the hypotenuse shows a 90 degree angle and an additional south west bearing of 69.5 degrees.

Answer 1

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