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Bethel Park is 28 miles directly west of Jeanette and 10.3 miles directly south of Pittsburgh. Which is the length of the road that runs straight from Pittsburgh to Jeanette?

Question options:

26 miles


33.4 miles


29.8 miles


25 miles

Respuesta :

Answer:

The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles

Step-by-step explanation:

We are given

Bethel Park is 28 miles directly west of Jeanette

10.3 miles directly south of Pittsburgh

We can draw diagram

we can see that this is triangle

so, we can use Pythagoras theorem

and we get

[tex]x^2=28^2+10.3^2[/tex]

now, we can solve for x

[tex]x=\sqrt{28^2+10.3^2}[/tex]

[tex]x=29.834miles[/tex]

So,

The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles

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