angeleyes3122072 angeleyes3122072
  • 19-09-2021
  • Mathematics
contestada

A wheelchair ramp with a length of 109 inches has a horizontal distance of 91 inches. What is the ramp's vertical distance?

Respuesta :

samirakalank samirakalank
  • 19-09-2021

Answer:

the ramp's vertical distance is 60

Step-by-step explanation:

Think about what a ramp looks like from the side (right triangle). Use the Pythagorean Theorem.

[tex]H2 = a2 + b2[/tex]

The wheelchair ramp (hypotenuse) is given to be 109, if one of the sides is 91, simply plug in the numbers and solve for the other side.

[tex](109)^{2} = (91)^{2} + b^2[/tex]

[tex]11881 = 8281 + b^2[/tex]

[tex]3600 = b^2[/tex]

[tex]\sqrt{3600} = b[/tex]

[tex]60 = b[/tex]

Hope this helps!

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