Question

"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"

Answer 1

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

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

Then, we find x using the sine function

`\begin{gathered} \sin 22.62=(x)/(24) \\ x=24\cdot\sin 22.62\approx9.2 \end{gathered}`

Hence, the answer is x = 9.2.