Plane's speed: 179 miles per hour The figure shows a small plane flying at a speed of 179 miles per hour on a bearing of N47 E. The wind is blowing from west to east at 48 miles per hour. The figure indicates that v represents the velocity of the 470 plane in still air and w represents the velocity of the wind. Wind's speed: 48 miles per hour O A. v= 179 sin 47i + 179 cos 47 j; w = 48 sin 0i + 48 cos 0j O B. v= 179 cos 47i + 179 sin 47 j; w = 48 cos 43i + 48 sin 430j O C. v= 179 sin 43i + 179 cos 43 j; w = 48 sin 0i + 48 cos 0j O D. v= 179 cos 43i + 179 sin 43 j; w = 48 cos 0i + 48 sin 0%j b. Find the resultant vector, v + w. v + w= (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed. Type your answer in the form ai + bj.) c. The magnitude of v + w, called the ground speed of the plane, gives its speed relative to the ground. Find the ground speed in miles per hour. The ground speed of the plane is miles per hour. (Simplify your answer. Round to the nearest tenth as needed.) d. The direction angle of v + w gives the plane's true course relative to the ground. Approximate the true course to the nearest tenth of a degree. What is the plane's true bearing O N34.30E O N34.3W N55.70E O N55.7 W Click to select your answer(s). MacBook Pro