Question

How do I find the value of x

Answer 1

ANSWER

4 units.

EXPLANATION

Triangle RQT is a right isosceles triangle.

This implies that:

RQ=RT=x.

Triangle RTS is also a right angle triangle with hypotenuse, RT=x.

Also, the side with length , 2√3 units is opposite to the 60° angle.

We use the sine ratio, to obtain:

$\sin(60 \degree) = \frac{opposite}{hypotenuse}$

$\sin(60 \degree) = \frac{2 \sqrt{3} }{x}$

Solve for x to obtain;

$x= \frac{2 \sqrt{3} }{ \sin(60 \degree)}$

This gives us:

$x= \frac{2 \sqrt{3} }{ \frac{ \sqrt{3} }{2} } = 4$

Therefore the value of x is 4 units.