## anonymous 4 years ago how do i find the value of x in this equation?

1. anonymous

|dw:1327976898833:dw|

2. anonymous

x=tan30 * 7

3. anonymous

so it would be $x =\tan30\times7?$

4. anonymous

$\tan \theta=opposite/adjacent$, so tan30=x/7, multiply both side by 7

5. anonymous

you actually do not need trig for this, just know the ratios of the triangle

6. anonymous

can you show me what the equation would be?

7. anonymous

for that triangle , if the short side is 1, the ratios are $1,\sqrt{3},2$ for short side, long side, hypotenuse

8. anonymous

|dw:1327977185469:dw|

9. anonymous

tan 30 = x/7 x = 7 * tan 30 = 4.042 OR $7/\sqrt{3}$

10. anonymous

so you know $\sqrt{3}x=7$ and this $x=\frac{7}{\sqrt{3}}$

11. anonymous

thanks