Hurry plz. If you can plz show work. Drawing a picture might help

Question

asked Jul 19, 2021 192k views

1 Answer

Sergio Mcfly PYK · Answer 1 · 2021-07-23T18:00:08+0000

Answer:
$9.4\ miles$

Explanation:

You can draw a Right triangle, as the one shown in the picture attached, where "x" is the distance between Troy and his starting point.

You need to use the Pythagorean Theorem. This is:

a^2=b^2+c^2

Where "a" is the hypotenuse, and "b" and "c" are the legs of the Right triangle.

In this case, you can identify that the legs of the Right triangle are:

$a=x\\\\b=8\ mi\\\\c=5\ mi$

Therefore, you can substitute values into
a^2=b^2+c^2 :

$x^2=(8\ mi)^2+(5\ mi)^2$

Now you need to solve for "x" in order to find its value. This is:

$x=√((8\ mi)^2+(5\ mi)^2)\\\\x=9.43\ mi$

Finally, rounding the result to the nearest tenth of a mile, you get:

$x\approx9.4\ mi$