Question

Radio direction are place at points a and b, which are 3.46 miles apart on the east west line, with a west of b. From point a, the hearing bearing of a certain radio transmitter is 47.7 degrees. Find the distance from point a to the transmitter.

Answer 1

The distance from point A to the transmitter is approximately 2.49 miles.

Step-by-step explanation:

To find the distance from point A to the radio transmitter, we can use trigonometry. We know the hearing bearing from point A is 47.7 degrees. Since we have a right triangle with the line joining points A and B as the hypotenuse, we can use the sine function to find the length of the side opposite the angle. Setting up the equation, sin(47.7) = length of opposite side / 3.46. Rearranging the equation, length of opposite side = 3.46 * sin(47.7). Calculating this value, we find that the distance from point A to the transmitter is approximately 2.49 miles.