SOLUTION: The thrust of an airplane's engines produces a speed of 371 mph in still air. The wind velocity is given by (21,-35). In what direction should the airplane head to fly due south? G
Algebra ->
College
-> Linear Algebra
-> SOLUTION: The thrust of an airplane's engines produces a speed of 371 mph in still air. The wind velocity is given by (21,-35). In what direction should the airplane head to fly due south? G
Log On
Question 563828: The thrust of an airplane's engines produces a speed of 371 mph in still air. The wind velocity is given by (21,-35). In what direction should the airplane head to fly due south? Give your answer as an angle from due south rounded to three significant digits. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The thrust of an airplane's engines produces a speed of 371 mph in still air. The wind velocity is given by (21,-35). In what direction should the airplane head to fly due south?
----------------------
Plot the point (21,-35) for the windspeed, label it A
Its length is sqrt(1666) =~ 40.81666
Its angle wrt the y-axis is arctan(21/35) =~ 30.964 degs
-----------------
Draw a line from A of length 371 (the plane's airspeed) from A southwest intersecting the y-axis.
------
Use the Sine Law to find angle OBA
=============================
Your email didn't work.
