Question

What is X and Y in the simplest form? Please show all work on how you got X and Y

Answer 1

Part 1)
`x=18\ units`

Part 2)
`y=6√(3)\ units`

Explanation:

step 1

Find the value of x

we know that

In the right triangle of the figure

`cos(30^o)=(x)/(12√(3))` ----> adjacent side divided by hypotenuse (CAH)

Remember that

`cos(30^o)=(√(3))/(2)`

substitute

`(√(3))/(2)=(y)/(12√(3))`

`x=18\ units`

step 2

Find the value of y

we know that

In the right triangle of the figure

`sin(30^o)=(y)/(12√(3))` ----> opposite side divided by hypotenuse (SOH)

Remember that

`sin(30^o)=(1)/(2)`

substitute

`(1)/(2)=(y)/(12√(3))`

`y=6√(3)\ units`