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 ...
- Mathematics - A pilot flies a plane that averages approximately 210 km/hr. The ...
- Physics - The pilot of a small plane finds that the airport where he intended to...
- Precalculus - A plane flies 30 mi on a bearing of 200 degrees and then turns and...
- Airplane trig question - An airplane, flying at a speed of 420 miles per hour, ...
- Pre cal - 1. An airplane flies 200 km on course 110 degrees from point A to ...
- Math (Algebra 2) - A population of flies grows according to the function p(x) = ...
- Math - A population of flies grows according to the function p(x)=2(4)^x, where ...

More Related Questions