Question

One ranger station is positioned 3 miles north at 6 miles east of the park entrance. Another station is located 7 miles north and 4 miles west of the entrance. A hiker stops on a trail connecting the two ranger stations. He is exactly halfway between the stations. What is his location as compared to the park entrance?

A. 2 miles north and 1 mike east

B. 2 miles north and 5 miles east

C. 5 miles north and 1 mile east

D. 10 miles north and 2 miles east

Answer 1

to me c is the answer. I don't have a graphic with me but just with a picture I got that answer

Answer 2

If the hiker is exactly halfway between the stations, then the location will be 5 miles north and 1 mile east. Then the correct option is C.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

One ranger station is positioned 3 miles north at 6 miles east of the park entrance.

Another station is located 7 miles north and 4 miles west of the entrance.

A hiker stops on a trail connecting the two ranger stations.

He is exactly halfway between the stations.

Then the location of the hiker will be

$\rm (x, y) = \left ( \dfrac{-7+-3}{2} ,\dfrac{6+-4}{2} \right )\\\\\\(x, y) = \left ( \dfrac{-10}{2} ,\dfrac{2}{2} \right )\\\\\\(x, y) = \left ( -5, 1\right )$

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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