Question

Find the value of x & y y 12 30

Answer 1

Answer:

x = $\frac{\sqrt{12} }{3}$12 = 8$\sqrt{3}$

y = $\frac{\sqrt{3} }{3}$12 = 4$\sqrt{3}$

Let me know if you need some help simplifying the expressions or o the trig side of things

Step-by-step explanation:

I'm not sure if this is full out trig or recognizing special triangles, specifically 30-60-90 triangles.  Of course since one angle is 30 degrees and the other is 90 degrees this is a 30-60-90 triangle.

with 30-60-90 tringles  the basic guide is as follows.

The three legs will be referred to as the hypotenuse, short leg and long leg.  I will use H, S and L.  

H = 2S = $\frac{\sqrt{12} }{3}$L

S = .5H = $\frac{\sqrt{3} }{3}$L

L = $\frac{\sqrt{3} }{2}$H = S$\sqrt{3}$

If this is trig just break out the unit circle and SOH CAH TOA

So x is the hypotenuse, and y is the short leg and we know the long leg is 12, so we can use that.

to find the hypotenuse knowing the long leg we use H = $\frac{\sqrt{12} }{3}$L and to find the short leg with the long leg you use S = $\frac{\sqrt{3} }{3}$L.  now just plug in 12 for L