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You and your friend start walking from the same point, shown in the graph. Your friend walks 5 miles east and then 2 miles due south. You walk 6 miles west and then 1 mile due north. Who is directly farther from the starting point?

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The person directly farther from starting point is You, 6.08 miles.

Step-by-step explanation:

The question requires application of Pythagorean relationship which states that the sum of squares of the sides lengths equals the square of the hypotenuse. In this case, the sides length are the distances walked in different directions where as the hypotenuse equals the distance from the starting point the two friends will be located.

For the case of the friend, walking 5 miles east and then 2 miles due south forms a right triangle with side lengths 5 miles and 2 miles. Finding the hypotenuse in this case will be;

a²+b²=c² where;

a= distance walked due east = 5 miles

b=distance walked due south = 2 miles

c= distance from the starting point = hypotenuse =c

Applying the formula;

a²+b²=c²

5²+2²=c²

25+4=c²

29=c²

√29 =c

5.39 miles =c

For the second case, walking 6 miles west then 1 mile due north forms a right-triangle with side lengths 6 miles and 1 mile where;

a=distance walked due west = 6 miles

b=distance walked due north= 1 mile

c=distance from the starting point=hypotenuse= c

Applying the formula

a²+b²=c²

6²+1²=c²

36+1=c²

37=c²

√37=c

6.08 miles =c

The person directly farther from starting point is You, 6.08 miles.

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Pythagorean relationship :https://brainly.com/question/10812175

Keywords : friend, graph, miles, walk, starting point. farther

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