Answer:
45.27 miles
Step-by-step explanation:
Pythagorean theorem
23^2 + 39^2 = d ^ 2
d = 45.27 miles
If a person drives 23 miles south and make a turn to east and drive 39 miles then the distance between starting point and person is 45.27 miles.
Pythagoras theorem applies in a right angled triangle. It says that in a right angled triangle the square of hypotenuse is equal to sum of squares of perpendicular and base of that triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex]
When person drives towards south and then east , it forms a right angled triangle. We have to find the distance of person from the starting point. If we see the figure then we will come to know that we are require to find hypotenuse of triangle.
H=[tex]\sqrt{P^{2} +B^{2} }[/tex]
Distance=[tex]\sqrt{23^{2} +39^{2} }[/tex]
=[tex]\sqrt{1521+529}[/tex]
=[tex]\sqrt{2050}[/tex]
=45.27
Hence the distance of person from starting point is 45.27 miles.
Learn more about pythagoras theorem at https://brainly.com/question/343682
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