The figure shows a small plane flying at a speed of 183 miles per hour on a bearing of N44°E. The wind is blowing from west to east at 42 miles per hour. The figure indicates that v represents the velocity of the plane in still air and w represents the velocity of the wind. b. Find the resultant vector, V + W. Plane's speed: 183 miles per hour a. Express v and w in terms of their magnitudes and direction angles. OA. v= 183 cos 44°i + 183 sin 44°j; w=42 cos 46°i + 42 sin 46°j O B. v= 183 cos 46°i + 183 sin 46° j; w=42 cos 0°i +42 sin 0°j O C. v= 183 sin 44°i + 183 cos 44°j; w= 42 sin 0°i + 42 cos 0°j O D. v= 183 sin 46°i + 183 cos 46°j; w=42 sin 0°i + 42 cos 0°j 44° The ground speed of the plane is miles per hour. (Simplify your answer. Round to the nearest tenth as needed.) v+w Wind's speed: 42 miles per hour 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 figure shows a small plane flying at a speed of 183 miles per hour on a bearing of N44°E. The wind is blowing from west to east at 42 miles per hour. The figure indicates that v represents the velocity of the plane in still air and w represents the velocity of the wind. b. Find the resultant vector, V + W. Plane's speed: 183 miles per hour a. Express v and w in terms of their magnitudes and direction angles. OA. v= 183 cos 44°i + 183 sin 44°j; w=42 cos 46°i + 42 sin 46°j O B. v= 183 cos 46°i + 183 sin 46° j; w=42 cos 0°i +42 sin 0°j O C. v= 183 sin 44°i + 183 cos 44°j; w= 42 sin 0°i + 42 cos 0°j O D. v= 183 sin 46°i + 183 cos 46°j; w=42 sin 0°i + 42 cos 0°j 44° The ground speed of the plane is miles per hour. (Simplify your answer. Round to the nearest tenth as needed.) v+w Wind's speed: 42 miles per hour 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.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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