Radio direction finders are set up at two points A and B, which are 2.50 miles apart on an east-west line. From A, it is found that the bearing of a signal from a radio transmitter is N 36 degrees 20 minutes E, and from B the bearing of the same signal is N 53 degrees 40 minutes W. Find the distance of the transmitter from B.
According to the question, we can make a right angled triangle. The degree of each angles are 90, 161/3(53.666), 109/3(36.333). The distance between B and transmitter is a, between A and transmitter is b, between A and B is c, which is 2.5 miles.
Now, we can use trigonometric function.
a approach to 1.4812miles