Convert the radian measure to degrees. Round to the nearest hundredth if necessary.
-Radio direction finders are set up at points A and B, 8.68 mi apart on an east-west line. From A it is found that the bearing of a signal from a transmitter is N 54.3°E, while from B it is N 35.7°W. Find
The distance of the transmitter from B, to the nearest hundredth of a mile.
A)4.57 mi
B)7.05 mi
C)5.07 mi
D)7.55 mi

Question

Quizplus · Accepted Answer

Using the Law of Sines, the distance from B to the transmitter can be calculated. Given the angles and the distance between points A and B, the angle opposite the side of length 8.68 miles is 180 - (54.3 + 35.7) = 90 degrees. The distance from B to the transmitter forms a right triangle, allowing for direct application of trigonometric functions. Calculating using the sine of the angles and the distance between A and B gives the distance from B to the transmitter as approximately 5.07 miles.

Convert the Radian Measure to Degrees