Question

Can you find x for this problem i want to make sure my answers right

Answer 1

Given:

In a right triangle,

The angle is 60 degrees.

The length of the opposite side is,

`2\sqrt[]{3}`

The length of the adjacent side is 2.

The hypotenuse side is x.

To find the value of x:

Using the trigonometric ratio of sine,

`\begin{gathered} \sin \theta=\frac{\text{Opp}}{\text{Hyp}} \\ \sin 60^(\circ)=\frac{2\sqrt[]{3}}{x} \\ x=\frac{2\sqrt[]{3}}{\sin 60^(\circ)} \\ x=\frac{2\sqrt[]{3}}{\frac{\sqrt[]{3}}{2}} \\ x=(2)/((1)/(2)) \\ x=4 \end{gathered}`

Hence, the value of x is 4.