Find Bearing of Plane?
Oct.14, 2011 in
Uncategorized
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 trig 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?
October 14th, 2011 at 9:36 pm
tangent ofangle between runway and plane is
1/(1/2) =2
arctan 2= 63.435 degress
adding this to the runway bearing give 103.435 degrees away from north
subtracting this from 180 gives 180-103.435=
76.6 degrees east of south or south 76.6 deg east
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