Answer:
y = 8sqr3,
x = 4sqr3
Step-by-step explanation:
Use SOH CAH TOA, to solve this.
Here I know the opposite, so I could use either SOH either TOA or both to find the 2 unknowns.
To find y, I would use SOH, which is Sin(angle) = opposite/hypotenuse.
When I rearrange it, I get opposite/Sin(angle) = hypotenuse.
Now let's fill in with the values to give:
12/sin(60) = 8sqr3
And then to find x, let's use TOA, which is Tan(angle) = opposite/adjacent.
Rearrange it to get opposite/Tan(angle) = adjacent. This gives us a side x with a value of:
12/tan(60) = 4sqr3