Question

4. The local radio tower is located 20 miles east and 12 miles north of Pamela's cabin. The radio

tower has a 25 mile broadcast radius. Is she within the receiving distance of the tower? *

Answer 1

Yes

Explanation:

The diagonal is given by

`\sqrt {{20^(2)+12^(2)}=23.3238075793812\approx 23.3`

Considering the attached diagram, since the radius is 25 miles but from radio tower the cabin is 20 miles East wards, it means it is within the radius considering rhe diagonal distance of 23.3 miles. Also, considering the North direction, the cabin being 12 miles away considering diagonal of 23.3 miles but the radius is 25 m it means the radius exceeds the position by 25-23.3=1.7miles.

Therefore, for both directions, the cabin is within the radius of the tower