alexabrooke11058 alexabrooke11058
  • 09-05-2022
  • Mathematics
contestada

The bottom end of a ramp at a warehouse is 10 feet from the base of the main dock and is 11 feet long.
How high is the
dock? Show your calculations

Respuesta :

Аноним Аноним
  • 09-05-2022

Answer:

The dock is [tex]4.58[/tex] [tex]ft[/tex] high

Step-by-step explanation:

we know that

Applying the Pythagoras theorem

Let

x------> the height of the dock

[tex]11^2=x^2+10^2[/tex]

Solve for x

[tex]x^2=11^2-10^2[/tex]

[tex]x^2=121-100[/tex]

[tex]x^2=21[/tex]

[tex]x=\sqrt{21}[/tex] [tex]ft[/tex]

[tex]x=4.58[/tex] [tex]ft[/tex]

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