Answer
Option B is correct
x = 4√3
Explanation
The right angle triangle is sketched above and we will use trignometric relations to solve this.
We need the value of x,
In a right angle triangle, the side opposite the right angle is called the Hypotenuse, the side opposite the given angle (let us use 60° as the given angle) is called the Opposite and the remaining side is called the Adjacent.
For this question,
Hypotenuse = ?
Opposite = 12
Adjacent = x
Using TOA, we can say that
Tan 60° = (Opp/Adj)
tan 60° = (12/x)
Note that Tan 60° = √3
tan 60° = (12/x)
√3 = (12/x)
Cross multiply and we have
x = (12/√3)
We can then rationalize this
[tex]\begin{gathered} x=\frac{12}{\sqrt{3}}\times\frac{\sqrt{3}}{\sqrt{3}} \\ =\frac{12\sqrt{3}}{3} \\ =4\sqrt{3} \end{gathered}[/tex]x = 4√3
Hope this Helps!!!
