Question

Which equation can we use to find the length of the side labeled x?

What is the value of x?

Answer 1

see explanation

Explanation:

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

cos30° =
`(√(3) )/(2)`

cos30° =
`(adjacent)/(hypotenuse)` =
`(8√(3) )/(x)` → D

and

`(8√(3) )/(x)` =
`(√(3) )/(2)` ( cross- multiply )

x
`√(3)` = 16
`√(3)` ( divide both sides by
`√(3)` )

x = 16