Respuesta :

Answer:

The length of the unknown leg is 5.66 yards

Step-by-step explanation:

[tex]Hypotenuse^2=opposite^2-adjacent^2[/tex]

[tex]Hyp^2=opp^2+adj^2[/tex]

[tex]Hyp=\sqrt{42.8}[/tex] [tex]yards[/tex]

[tex]Opp=\sqrt{11}[/tex] [tex]yards[/tex]

[tex]Adj=?[/tex]

[tex]Adj^2=Hyp^2-opp^2[/tex]

[tex]=(\sqrt{42.8} )^2-(\sqrt{11} )^2[/tex]

[tex]=42.8-11[/tex]

[tex]=31.8[/tex] → [tex]32[/tex]

[tex]Adj^2=32[/tex]

[tex]Adj=\sqrt{32}[/tex]

= 5.66 yards

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