A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see the figure). The jet has a speed of 780 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E. 30° 45° (a) Express the velocity of the wind as a vector in component form. 25i + 212j (b) Express the velocity of the jet relative to the air as a vector in component form. (c) Find the true velocity of the jet as a vector. (Round your answer to two decimal places.) (d) Find the true speed of the jet. (Round your answer to the nearest integer.) mi/h Find the direction of the jet. (Round your answer to the nearest integer.) N 45 x °E
A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see the figure). The jet has a speed of 780 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E. 30° 45° (a) Express the velocity of the wind as a vector in component form. 25i + 212j (b) Express the velocity of the jet relative to the air as a vector in component form. (c) Find the true velocity of the jet as a vector. (Round your answer to two decimal places.) (d) Find the true speed of the jet. (Round your answer to the nearest integer.) mi/h Find the direction of the jet. (Round your answer to the nearest integer.) N 45 x °E
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 10ECP
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![A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see the figure). The jet has a speed of 780 mi/h relative to
the air, and the pilot heads the jet in the direction N 45° E.
30°
| 45°
(a) Express the velocity of the wind as a vector in component form.
25i + 212j
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector. (Round your answ
to two decimal places.)
(d) Find the true speed of the jet. (Round your answer to the nearest integer.)
mi/h
Find the direction of the jet. (Round your answer to the nearest integer.)
N 45
X °E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4445c11c-6be4-44e3-9729-74c96ac590c5%2F004c3b9e-ab91-4f8c-8266-e703a3fa434d%2Fidw8wj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see the figure). The jet has a speed of 780 mi/h relative to
the air, and the pilot heads the jet in the direction N 45° E.
30°
| 45°
(a) Express the velocity of the wind as a vector in component form.
25i + 212j
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector. (Round your answ
to two decimal places.)
(d) Find the true speed of the jet. (Round your answer to the nearest integer.)
mi/h
Find the direction of the jet. (Round your answer to the nearest integer.)
N 45
X °E
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