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 Math Central Quandaries & Queries
 Question from Nathan, a student: Radio direction finders set up two points A and B, which are 2.5 miles apart on an east-west line. From A, it is found that the bearing of a signal from a radio transmitter is N36.33 degrees E, while from B the bearing of the same signal is N53.67 degrees W. Find the distance of the transmitter from B.

Hi Nathan,

I drew a diagram.

The transmitter is at $T.$

What is the measure of angle $TAB?$

What is the measure of angle $ABT?$

What is the measure of angle $BTA?$

Penny

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