Posted by amaa on Tuesday, December 4, 2012 at 7:33am.
A pilot flies in a straight path for 2 h 30 min. She then makes a course correction, heading 7 degrees to the right of her original course, and flies 3h in the new direction. If she maintains a constant speed of 695 mi/h, how far is she from her starting position?

precalculus  Reiny, Tuesday, December 4, 2012 at 8:10am
let AB be the original path, then veer off at 7° for BC.
Join AC
I see a long skinny triangle ABC with angle ABC = 173°
The lengths of AB and BC are 2.5(695) and 3(695) respectively, but we can just ignore the 695 for the time being and use the smaller similar triangle to keep the numbers low.
by cosine law
AC^2 = 2.5^2 + 3^2  2(2.5)(3)cos173
= 15.25  (14.88819...)
= 30.13819..
AC = 5.489826..
so the distance is 5.489..(695) = 3815.4 miles
Answer This Question
Related Questions
 Math  A pilot flies in a straight path for 1 h 30 min. She then makes a course ...
 math  A pilot flies in a straight path for 1 h 30 min. She then makes a course ...
 physics  Bob has a helicopter and from the launch pad he flies the following ...
 Airplane trig question  An airplane, flying at a speed of 420 miles per hour, ...
 physics  1. the pilot of a private plane flies 20km in a direction 60 degrees ...
 physics  1. the pilot of a private plane flies 20km in a direction 60 degrees ...
 physics  1. the pilot of a private plane flies 20km in a direction 60 degrees ...
 Physics  The pilot of a small plane finds that the airport where he intended to...
 Mathematics  A pilot flies a plane that averages approximately 210 km/hr. The ...
 Physics 11  An airplane flies at 500km/hr, there is a wind kf 50.0km/h(N).if ...
More Related Questions