A ramp 12 feet long is leaning against a raised platform which is 5 feet above the ground. What is the distance from the ramp's contact point with the ground and the base of the platform?

Respuesta :

Answer:

The distance from the ramp's contact point with the ground and the base of the platform is 10.90 feet.

Step-by-step explanation:

As

  • A ramp 12 feet long is leaning against a raised platform which is 5 feet above the ground.

And

  • We have to determine the distance from the ramp's contact point with the ground and the base of the platform.

Since we are looking for the side of 'b' right triangle.

Please check the attached figure.

So using the Pythagorean formula:

Fora right angled triangle with sides a, and b the hypotenuse c is defined as

[tex]c^2=a^2+b^2[/tex]

[tex]b=\sqrt{c^2-a^2}[/tex]

  • [tex]a=5[/tex]
  • [tex]c=12[/tex]
  • [tex]b=?[/tex]

[tex]b=\sqrt{12^2-5^2}[/tex]

[tex]b=\sqrt{119}[/tex]

[tex]b=10.90[/tex]  feet

Therefore, the distance from the ramp's contact point with the ground and the base of the platform is 10.90 feet.

Ver imagen SaniShahbaz