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Find the length of theside labeled x. Roundintermediate values tothe nearest tenth. Usethe rounded values tocalculate the next value.Round your final answerto the nearest tenth.2668°42°X

Find the length of theside labeled x Roundintermediate values tothe nearest tenth Usethe rounded values tocalculate the next valueRound your final answerto the class=

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Solution

Let the height of the triangle be h

[tex]\begin{gathered} tan68=\frac{26}{h} \\ h=\frac{26}{tan68} \\ h=10.504 \end{gathered}[/tex][tex]\begin{gathered} tan42=\frac{h}{x} \\ tan42=\frac{10.504}{x} \\ x=\frac{10.504}{tan42} \\ x=11.667 \\ x=11.7\text{ \lparen nearest tenth\rparen} \end{gathered}[/tex]

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