You start driving north for 4 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Respuesta :

It is 5.7. You can use a triangle as a diagram and use the Pythagorean theorem which is a^2*b^2=c^2. When you put the numbers in, you get 4^2+4^2. This results in 32. When you do that, you square 32 and round it to get 5.7

The straight line distance between the start and finish point is required.

The straight line distance is 5.7 miles.

Pythagoras theorem

a = Distance traveled north = 4 miles

b = Distance traveled east = 4 miles

c = Straight line distance

The angle between the two paths is ninety degrees so, the Pythagoras theorem can be applied here.

Applying the Pythagoras theorem

[tex]c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{4^2+4^2}\\\Rightarrow c=4\sqrt{2}\\\Rightarrow c=5.7\ \text{miles}[/tex]

Learn more about Pythagoras theorem:

https://brainly.com/question/343682