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Answer : The horizontal distance traveled by a person is, 5630 ft
Step-by-step explanation :
To calculate the horizontal distance traveled by a person we are using Pythagoras theorem.
Using Pythagoras theorem:
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
Given:
Hypotenuse = 5750 ft
Perpendicular = 1170 ft
Now put all the values in the above expression, we get the value of base.
[tex](5750)^2=(1170)^2+(Base)^2[/tex]
[tex]Base=\sqrt{(5750)^2-(1170)^2}[/tex]
[tex]Base=\sqrt{33062500-1368900}[/tex]
[tex]Base=\sqrt{31693600}[/tex]
[tex]Base=5629.706ft\approx 5630ft[/tex]
Therefore, the horizontal distance traveled by a person is, 5630 ft

The horizontal distance traveled by a person is 5630 ft.
Calculation of the horizontal distance traveled:
Since
Hypotenuse = 5750 ft
Perpendicular = 1170 ft
So, the horizontal distance should be
[tex](5750)^2 = (1170)^2 + (base)^2\\\\base = \sqrt{(5750)^2 - (1170)^2 } \\\\= \sqrt{33062500 - 1368900}[/tex]
= 5630 ft.
Hence, The horizontal distance traveled by a person is 5630 ft.
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