Question

Olga is a park ranger in a large national park. The park is in a rural area that has no cellular phone service. Olga has a walkie-talkie that allows her to her to transmit weather updates to other rangers in the park. Her walkie-talkie has a range of 10 miles in all directions. The other park rangers have receivers in their cars that can pick up her weather updates when they are in range of her walkie-talkie. On a particular day, Olga is at the ranger station in the center of the park. Her coworker Neil is doing a survey of the land by driving along a straight road through the park. The road that Neil is on starts 15 miles west and 15 miles south of the ranger station and ends 20 miles north and 10 miles east of the ranger station.

For approximately how many miles of road will Neil be able to receive Olga’s weather updates?

Answer 1

0.7 miles

Step-by-step explanation:

Given

"Her walkie-talkie has a range of 10 miles in all directions."

"The road that Neil is on starts 15 miles west and 15 miles south of the ranger station and ends 20 miles north and 10 miles east of the ranger station."

Solve

Range = 10

His range is 15

∴ 10 ÷ 15 = 0.66666666666 to nearest tenths

= 0.7

Therefore, It will approximately take 0.7 miles of road for Neil to be able to receive Olga’s weather updates.