Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben rode 2 miles east.

How far apart are the two boys?

Round to the nearest tenth if needed.

Respuesta :

Answer:

3.6 miles

Step-by-step explanation:

a²+b²=c²

a and b are triangle legs, and for this question it doesn't really matter which you identify as a or b. We are looking for c, or the distance apart from each other.

3²+2²=c²

= 9+4=c²

= 9+4= 13

= c² = 13

Now we are looking for the square root of 13

√13 = 3.605...

This rounded to the nearest tenth is 3.6

The answer is 3.6 miles.

Hope this helped and made it a bit easier to understand - sorry if the text format is a little messy.

Josh and Ben are 3.6 miles apart from each other.

The distance covered by Josh north, distance covered by Ben east and the distance between the two boys forms a right angled triangle.

Let x represent the distance between the two boys.

Using Pythagoras theorem:

x² = 3² + 2²

x² = 9 + 4

x² = 13

x = 3.6 miles

Therefore both Josh and Ben are 3.6 miles apart from each other.

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