## -Welp- one year ago Trig help

1. -Welp-

|dw:1437096534099:dw| What are the values of x and y? How I am I supposed to solve this?

2. anonymous

This is about the properties of a 30-60-90 triangle. In a 30-60-90 triangle, the sides will always be proportionate to each other like this. |dw:1437096781023:dw| The side opposite to 30 degrees is always half of the hypotenuse and the side opposite the 60 degrees is the short side * $$\sqrt{3}$$.

3. -Welp-

x= 42 y= 21?

4. anonymous

The side opposite 30 degrees is half of the hypotenuse. Is 21 half of $$21\sqrt{3}$$?

5. -Welp-

y= $10.5\sqrt{3}?$

6. mathstudent55

yes

7. mathstudent55

y is opposite the 30-deg angle, so y is the short leg which is half the hypotenuse. $$y = 10.5 \sqrt 3$$ You are correct above. Then x is the long leg which is $$\sqrt 3$$ times the short leg $$x = (10.5 \sqrt 3)(\sqrt 3)$$