Question

Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.

Answer 1

Samantha and Mia are 13 km apart from each other.

What is Pythagoras theorem?

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

As Mia walked 7km/h and she is 7 km north of Julia's house.

and, Samantha walked 11km/h and she is 11 km west of Julia's house.

The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.

the distance between the girls is shown by, hypotenuse of triangle

Using Pythagoras theorem,

$H^{2} =P^{2} +B^{2}$

$H^{2} =7^{2} +11^{2}$

$H^{2} =49+121$

H= $\sqrt{170}$

H= 13.038

H= 13 Km

They are 13 km apart from each other.

Learn more about Pythagoras theorem here:

https://brainly.com/question/4493661

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Answer 2

Answer:

13.0 km

Step-by-step explanation: