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Answer 1

`(4)/(3)`
`√(3)`

Explanation:

the ratio of sides of a 30-60-90° triangle, respectively, are 1 :
`√(3)` : 2

we can solve for 'x' using this proportion:

x/4 = 1/
`√(3)`

now cross-multiply:

`√(3)`x = 4

x = 4/
`√(3)`

we don't want to leave a radical in the denominator so we can multiply numerator and denominator by
`√(3)` to get:

4
`√(3)` / 3 or
`(4)/(3)`
`√(3)`