Question

Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :

Answer 1

Answer:

x = 10$\sqrt{3}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{20}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 20$\sqrt{3}$ ( divide both sides by 2 )

x = 10$\sqrt{3}$