Answer: Yes.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other sides.
Replacing with the values given:
c^2 = 16^2 + 12^2
c^2 = 256+144
c^2 = 400
c = √400
c = 20 miles
So, she is within the area serviced by the tower (20 miles)
Feel free to ask for more if needed or if you did not understand something.
