SOLUTION: Solve. Ann Cobb lives 20 miles due north of her favorite radio station. While driving due east from her house , she was able to keep the radio signal for 75 miles. What is the

Algebra ->  Equations -> SOLUTION: Solve. Ann Cobb lives 20 miles due north of her favorite radio station. While driving due east from her house , she was able to keep the radio signal for 75 miles. What is the       Log On


   



Question 316786: Solve.
Ann Cobb lives 20 miles due north of her favorite radio station. While driving due east from her house , she was able to keep the radio signal for 75 miles. What is the broadcasting range of her favorite radio station?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The 20 miles north from her house and the 75 miles east from her house are legs of a right triangle.
The hypotenuse of the right triangle is the distance from the radio station and its range.
Use the Pythagorean theorem,
20%5E2%2B75%5E2=D%5E2
D%5E2=400%2B5625
D%5E2=6025
D=sqrt%286025%29
D=5sqrt%28241%29 or approximately,
D=77.6miles