13. A ski lift forms a right triangle, as shown. Use the Pythagorean Theorem

(Theorem 9.1) to approximate the horizontal distance traveled by a person

riding the ski lift. Round your answer to the nearest whole foot.

5750 ft

1170 ft

Respuesta :

This is an incomplete question, the image is shown below.

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

Ver imagen Alleei

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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