The distance between 2 cell towers is 42 miles. From the western cell tower, a phone signal is 20 degrees north of east and is 48 miles away, how far is this cell phone from the eastern cell tower?

Answer:48milesStep-by-step explanation:The illustration of the scenario is represented in the attached photoA triangle WEP is formed.x = distance of the cell phone from the eastern cell towerThe angles in the triangle = 70 degrees + 70 degrees + 40 degrees = 180degreesIt is not a right angle triangle. This means that we cannot use Pythagoras theorem. We would apply the sine rule which is as follows:a/sinA = b/sinB = c/sincea, b and c are the sides of the triangle and A,B and C are the corresponding opposite angles to the sides.Applying it in our triangle,x/sin 70 = 48/sin70x = 48sin70/sin70x = 480 miles