Question

Please help! if you can, show how you got the answer!

Answer 1

Explanation:

We are given two sides, the adjacent and the opposite, and the angle of 60*

Using this information, we can refer to the acronym:

SOH CAH TOA

`Sin = (opposite)/(hypotenuse) , Cos = (adjacent)/(hypotenuse) , Tan = (opposite)/(adjacent)`

For this question, we will be using the Tangent equation

Tan(60*) = 12/x

Using a calculator, Tan (60*) = sqrt 3

Then cross-multiply

`(√(3) )/(1) *(12)/(x)\\\\12=√(3) x\\\\(12)/(√(3) ) = x`

`(12*√(3) )/(√(3)*√(3)) \\\\(12√(3))/(3)`

Therefore the answer is: x = 4
`√(3)`