Respuesta :

The given triangle can be redrawn as,

In the given triangle ABC, BC=8.

AC=x

Applying trigonometric property in the above triangle,

[tex]\sin Solve the above equation for x.[tex]\begin{gathered} x=\frac{8}{\sin 67^{\circ}} \\ x=8.69 \end{gathered}[/tex]

Therefore, the value of x is 8.69.

Ver imagen MakynleyF492

Answer: The answer for the value of x is 8.69

Step-by-step explanation:

Considering the right-angled triangle and applying trigonometric ratios, we’ll have:

Sin 67^o = 8/x

By re-arranging terms to make x the subject of the formula, we’ll have:

x=8/sin⁡ 67^o = 8.69 (to the nearest hundredth)

Hence, the value of x is 8.69