Question

The western and eastern cell towers are 10 miles apart. From the

western cell tower, a phone signal is 10° north of east. From the eastern cell tower, the
signal is 20° west of north. How far away is the cell phone from each of the towers?
Sketch a diagram.

Answer 1

The distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles

Step-by-step explanation:

The sketch is attached for the reference.

tan (10) =
`(NE)/(WE)`

`0.176 = (NE)/(10) \\\\NE = 1.76`

tan (70) =
`(NW)/(WE) \\\\`

`2.747 = (NW)/(10) \\\\NW = 27.47`

Therefore, the distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles