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A moving van ramp is 72 inches in length. The top of the ramp can be adjusted to any height up to 20 inches. The ramp is set so that the distance across the ground from the bottom of the ramp to the ground underneath the top of the ramp is 70 inches. What is the height of the ramp above the ground? Round the answer to the nearest tenth of an inch.

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BlueSky06
The ramp forms a right triangle with the ground and the hypotenuse is 72 cm. From the statement, one of the legs of the right triangle formed is 70 cm. We use the Pythagorean theorem to calculate for the height.
                
                                 c² = a² + b²
Substituting,
                           (72 cm)² = (70 cm)² + b²
                                    b = 16.85 cm

Thus, the height of the ramp above the ground is approximately 16.85 cm. 

Pythagoras theorem is applicable to right-angle triangles only. The height of the ramp above the ground is 16.8523 inches.

What is the Pythagoras theorem?

The Pythagoras theorem states the relationship between all three sides of a right angles triangle. It states,

(Hypotenuse)² = (Base)² + (Perpendicular)²

Let the height of the ramp above the ground be P.

We know that the Pythagoras theorem can be applied here, as the angle made by the ramp at the ground is 90°. therefore,

The height of the ramp above the ground

[tex]H ^2 = B^2 + P^2[/tex]

The length of the ramp, H = 72 inches

The ground underneath the ramp, B = 70 inches,

[tex]\\\\72^2 = 70^2 + P^2\\\\P = 16.8523\rm \ inches[/tex]

Hence, the height of the ramp above the ground is 16.8523 inches.

Learn more about Pythagoras theorem:

https://brainly.com/question/343682

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