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.

Respuesta :

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

Explanation:

The sketch is attached for the reference.

tan (10) = [tex]\frac{NE}{WE}[/tex]

[tex]0.176 = \frac{NE}{10} \\\\NE = 1.76[/tex]

tan (70) = [tex]\frac{NW}{WE} \\\\[/tex]

[tex]2.747 = \frac{NW}{10} \\\\NW = 27.47[/tex]

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

Ver imagen thamimspartan