tishacsimmons1186 tishacsimmons1186
  • 17-11-2020
  • Mathematics
contestada

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long

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PhantomWisdom PhantomWisdom
  • 19-11-2020

Given :

Height of the ramp, h = 83 cm.

Length of ramp, L = 158 cm.

To Find :

Length of the base of the ramp.

Solution :

Let length of the base is l.

By Pythagoras theorem :

L² = h² + l²

[tex]l=\sqrt{L^2-h^2}\\\\l=\sqrt{158^2-83^2}\\\\l=134.44\ cm[/tex]

Therefore, length of the base is 134.44 cm.

Hence, this is the required solution.

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