Radio direction finders are set up at points A and B, 8.68mi apart on an east - west line. From A It is found that the bearing of a signal from a transmitter is N 54.3 degrees E,

Question

(Cont.) while from B it is N 35.7 degrees W. Find the distance of the transmitter from B, to nearest hundredth of a mile

Answer 1

Draw and label a diagram.

Label transmitter T

∠A = 35.7º

∠B = 54.3º:

Your choice:

sin A = TB / 8.68

cos B = TB / 8.68