Question

Sec 30°=x/12?

Answer 1

`x=8sqrt3`

Explanation:

`Sec 30°=x/12`

`1/(cos30^@) = x/12`

using the "unit circle" we can determine the exact value of `cos30^@ = sqrt3/2`

`1/(sqrt3/2) = x/12`

`2/(sqrt3) = x/12`

cross multiply:

`2*12 = xsqrt3`

`24=xsqrt3`

`x=24/sqrt3`

rationalize the denominator:

`x=(24sqrt3)/3`

`x=8sqrt3`

Answer 2

BELOW

Explanation:

`sec30 =x/12`
we know that `cos 30 = sqrt3/2`

also `sec =1/cos`
therefore `sec 30 =2/sqrt3`
ATQ ,
`2/sqrt3 =x/12`
`24=sqrt3x`
`x=8sqrt3`

HOPE U GET IT!!
~CHEERS!!