Question

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

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Answer 1

x = 10
`√(3)`

Explanation:

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

sin60° =
`(√(3) )/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(x)/(20)` =
`(√(3) )/(2)` ( cross- multiply )

2x = 20
`√(3)` ( divide both sides by 2 )

x = 10
`√(3)`