Question

Find the value of x using trig ratios.114909.562O 8.302O 7.21712.654

Answer 1

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,

`\tan \theta=\frac{\text{opposite}}{\text{adjacent}}`

For the given case, we have

θ = 49°

Opposite = x

Adjacent = 11

Let us substitute these values into the above formula

`\begin{gathered} \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \tan (49\degree)=(x)/(11) \\ x=\tan (49\degree)\cdot11 \\ x=1.1504\cdot11 \\ x=12.654 \end{gathered}`

Therefore, the value of x is 12.654

The last option is the correct answer.