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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, rounded to the nearest hundredth? Answer the question in the box below, showing ALL the work.

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 rounded to the nearest hundredth Answ class=

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calculista

Answer:

The dock is [tex]4.58\ 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}\ ft[/tex]

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