9514 1404 393
Answer:
3380 miles
Explanation:
The distance separating the planes can be found using the law of cosines. One plane has gone 3×700 = 2100 miles; the other has gone 3×895 = 2685 miles. The angle between their flight paths is 46°+43° = 89°. Then the separation (s) is ...
s² = 2100² +2685² -2(2100)(2685)cos(89°) = 11,619,225 -11,277,000×0.01745
s² ≈ 11,422,414.21
s ≈ √11,422,414.21 ≈ 3379.7
The planes are separated by about 3380 miles after 3 hours.