We are given a right-angled triangle.
With respect to angle 49°, the adjacent side is 11 and the opposite side is x
Recall from the trigonometric ratios,
[tex]\tan \theta=\frac{\text{opposite}}{\text{adjacent}}[/tex]For the given case, we have
θ = 49°
Opposite = x
Adjacent = 11
Let us substitute these values into the above formula
[tex]\begin{gathered} \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \tan (49\degree)=\frac{x}{11} \\ x=\tan (49\degree)\cdot11 \\ x=1.1504\cdot11 \\ x=12.654 \end{gathered}[/tex]Therefore, the value of x is 12.654
The last option is the correct answer.
