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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Question

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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.
O A. v= 183 cos 44°i + 183 sin 44°j; w=42 cos 46°i + 42 sin 46°j
OB. 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.

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