Posted by **John** on Friday, February 22, 2008 at 6:44pm.

A plane leave a certain airport from runway 4 RIGHT, whose bearing is N40degreesE. After flying for 1/2 mile, the pilot requestd permission to trun 90 degrees and head toward the southeast. The permission is granted. After the airplane goes 1 mile in this direction, what bearing should the control tower use to locate the plane?

After my work, I got S23.4degreesE but the book's answer is

S76.6degreesE.

How do I get the book's answer? Why is my answer wrong?

- Find Airplane Bearing -
**Reiny**, Friday, February 22, 2008 at 8:00pm
let's give some letter names to our triangle

let the origin be O

let the end of the first leg be A, the end of the second leg be B

then OA=.5 and AB = 1 and angle A = 90º

so by Pythagoras OB = 1.118

and angle AOB = 63.4

so the plane is flying 103.43 from north

which when subtracted from 180 is 76.57º as your book says

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