Distance between plane and airport is 134.4 miles.
Given : An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W.
To find : How far is the plane from the airport.
Solution : Distance from airport to west is 150 miles and then 170 miles in the direction south and angle form is S 49.17° W
Refer the attached picture for clearance.
Applying law of cosines
where a= 150 miles
C= 49.17° angle in degree
c = distance between plane from the airport
Put values in the formula,
Therefore, Distance between plane and airport is 134.4 miles.
I used the simplest geometry I could (wasn't sure what level of mathematics you were).
If the picture doesn't come through I'm sorry.
Final answer is 291.10936206249 miles or approximately 291 miles.
its kind of blurry. can you put a clearer pic?