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Ad libitum [116K]
3 years ago
14

Runners in a long distance race start out going 6 kilometers east and then head north for the remainder of the race. The finish

line is 10 kilometers from the starting line. How far did the runners travel north?
4 km
8 km
10 km

Mathematics
2 answers:
lyudmila [28]3 years ago
5 0

This forms a right triangle with 6 being the base and 10 being the hypotenuse.

Using the Pythagorean theorem solve the distance north, which would be the height of the right triangle.

X = √(10^2 - 6^2)

X = √(100-36)

X = √64

X = 8

The answer is 8 km.

Iteru [2.4K]3 years ago
3 0

Answer:

8 km

Step-by-step explanation:

Given : Runners in a long distance race start out going 6 kilometers east and then head north for the remainder of the race.

The finish line is 10 kilometers from the starting line.

To Find: How far did the runners travel north?

Solution :

Refer the attached figure

Runners in a long distance race start out going 6 kilometers east  i.e. AB = 6 km

The finish line is 10 kilometers from the starting line.i.e. AC = 10 km

We are supposed to find How far did the runners travel north i.e.CB

So, we will use Pythagoras theorem :

Hypotenuse^2=Perpendicular^2+Base^2

AC^2=CB^2+AB^2

10^2=CB^2+6^2

10^2-6^2=CB^2

\sqrt{10^2-6^2}=CB

8=CB

Hence the runners travel north is 8 km

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