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2 votes
Find x.



\/3
1.5
3 \/3
2

Find x. \/3 1.5 3 \/3 2-example-1
User ChikabuZ
by
8.2k points

2 Answers

13 votes

Answer:

x =
√(3)

Explanation:

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

tan60° =
√(3) , then

tan60° =
(opposite)/(adjacent) =
(3)/(x) =
√(3) ( multiply both sides by x )

3 = x ×
√(3) ( divide both sides by
√(3) )


(3)/(√(3) ) = x , then rationalising the denominator

x =
(3)/(√(3) ) ×
(√(3) )/(√(3) ) =
(3√(3) )/(3) =
√(3)

User Dsdsdsdsd
by
8.9k points
14 votes


x = √(3)

Explanation:

Given:


\sin(ABC) = (AC)/(AB)


= > \sin(60) = (3)/(AB)


= >AB= 2 √(3)

Now by Pythagoras theorem,


AC^(2) + BC^(2) = AB^(2)

Substituting values,


{3}^(2) + {x}^(2) = (2 √(3))^(2)


= > {x} = √(3)

Hence, value of x is
√(3)

User Matan
by
8.2k points

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