Final answer:
To find the distance of the transmitter from point B, use the concept of triangulation by finding the distance from point A and point B separately. From point A, the distance is 6.98 mi, and from point B, the distance is 2) 7.55 mi.
Step-by-step explanation:
To find the distance of the transmitter from point B, we can use the concept of triangulation. Let's first find the distance of the transmitter from point A. Since the bearing from point A is given as N 54.3°E, we can draw a line with this bearing from point A. This line will intersect with the line connecting points A and B at a right angle. Now, we can use trigonometry to find the distance of the transmitter from point A as 8.68 * sin(54.3°) = 6.98 mi (nearest hundredth of a mile). Next, we can use the same concept to find the distance of the transmitter from point B. Since the bearing from point B is given as N 95.7°W, we can draw a line with this bearing from point B. This line will intersect with the line connecting points A and B at a right angle. Using trigonometry, we can find the distance of the transmitter from point B as 8.68 * sin(95.7°) = 7.55 mi (nearest hundredth of a mile).