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]
