Find Bearing that control tower should use to locate plane

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A DC-9 aircraft leaves Midway Airport from runway 4 RIGHT, whose bearing is N40degreesE. After flying for 1/2 mile, the pilot requests permission to turn 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 aircraft?
 
What have you tried? How far have you gotten? Where are you stuck?

Thank you.

Eliz.
 
There's no lag time between asking, granting, and executing?

Really, let's see your work.
 
ok

My work:

t = theta

tant = 2

t = tan INVERSE 1 (2)

t = 63.4 degrees

Now I take the new angle found and subtract the given 40 degrees, right?

So, 63.4 degrees - 40 degrees = 23.43 degrees, which I then write as

S23.43degreesE but according to the textbook, the answer is S76.6degreesS.

Why am I wrong?

Interval
 
the airplane turned right ...

40 degrees + 63 degrees = 103 degrees, clockwise from North

this can also be written as E 13 degrees S or S 77 degrees E.
 
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