The equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]
Trigonometry: Solving a right triangle
From the question, we are to determine which equation should one solve to find x
Considering the right triangle in the diagram,
Opposite = x
Adjacent = 9
Hypotenuse = 10
By SOH CAH TOA
We have that
[tex]sin\theta = \frac{opposite}{hypotenuse}[/tex]
Where θ is the angle
Then, we can write that
[tex]sin\ 26^\circ =\frac{x}{10}[/tex]
This is the equation that should be solved in order to find x
Hence, the equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]
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