An airplane is traveling due east with a velocity of 583 miles per hour. The wind blows at 75 miles per hour at an angle of S58°. What is the resultant speed and direction of the plane?A. 650.5 miles per hour; S7.8°EB. 626.0 miles per hour; S84.2°EC. 653.6 miles per hour; S3.5°ED. 647.8 miles per hour; S86.5°E

Answer:   D. 647.8 miles per hour; S86.5°EStep-by-step explanation:We assume the wind direction is supposed to be S58°E. Then the bearing of the plane measured clockwise from north is 90°, and the direction the wind is blowing toward has a bearing of 122°. The resultant speed and direction is the sum of the two vectors, which is easily found using a suitable calculator:   583∠90° + 75∠122° = 647.8∠93.5°The bearing of 93.5° translates to the direction S86.5°E._____An angle east of south is subtracted from 180° (south) to find the equivalent bearing.