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QveST [7]
3 years ago
15

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, rou

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

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

The dock is 4.58\ ft high

Step-by-step explanation:

we know that

Applying the Pythagoras theorem

Let

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

11^{2}=x^{2} +10^{2}

Solve for x

x^{2}=11^{2}-10^{2}

x^{2}=121-100

x^{2}=21

x=\sqrt{21}\ ft

x=4.58\ ft

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