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"find the value of the variable if necessary wrong decimal answers to the nearest tenth."x= 9.2 x= 20.2x= 8.3x= 15.5"one of these is the correct answer"

find the value of the variable if necessary wrong decimal answers to the nearest tenthx 92 x 202x 83x 155one of these is the correct answer class=

Respuesta :

First, we find the acute angle on the top vertex.

[tex]\begin{gathered} \cos \theta=\frac{24}{26} \\ \theta=\cos ^{-1}(\frac{24}{26})\approx22.62 \end{gathered}[/tex]

Then, we find x using the sine function

[tex]\begin{gathered} \sin 22.62=\frac{x}{24} \\ x=24\cdot\sin 22.62\approx9.2 \end{gathered}[/tex]

Hence, the answer is x = 9.2.

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