9) An airplane has airspeed of 400 mph in the north direction. The wind is blowing at 100 mph in the S53.13°E direction. Answer the following: a) Express the velocity of the airplane va in terms of i and j. 400j b) Express the wind velocity v in terms of i and j. 80i - 60j c) Find the velocity of the airplane with respect to the ground. 80i + 340j d) Find the actual speed of the airplane with respect to the ground. (2 decimals) 349 28 mph

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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9) An airplane has airspeed of 400 mph in the north direction. The wind is blowing at
100 mph in the S53.13°E direction. Answer the following:
a) Express the velocity of the airplane va in terms of i and j.
400j
b) Express the wind velocity v in terms of i and j.
80i - 60j
c) Find the velocity of the airplane with respect to the ground.
80i + 340j
d) Find the actual speed of the airplane with respect to the ground. (2 decimals)
349 28 mph
Transcribed Image Text:9) An airplane has airspeed of 400 mph in the north direction. The wind is blowing at 100 mph in the S53.13°E direction. Answer the following: a) Express the velocity of the airplane va in terms of i and j. 400j b) Express the wind velocity v in terms of i and j. 80i - 60j c) Find the velocity of the airplane with respect to the ground. 80i + 340j d) Find the actual speed of the airplane with respect to the ground. (2 decimals) 349 28 mph
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