## highschoolmom2010 2 years ago Find the values of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.

1. highschoolmom2010

2. katherine.ok

Lol. you are still doing your math homework i see! Do you remember me?

3. highschoolmom2010

i had to take a break my brain was smoking

4. katherine.ok

sin30= w/6. get w.

5. highschoolmom2010

lol hi @nincompoop and @katherine.ok yes i remember

6. katherine.ok

Knowing w now, you now know that cos x=4/w. you know w, get x.

7. katherine.ok

cosx=w/4**

8. highschoolmom2010

ok $\sin (30)=\frac{ w }{ 6 }$ $(6)*\sin 30=\frac{ w }{ 6 }*6$ $6\sin 30=w$ w=3

9. Jhannybean

Good job.

10. highschoolmom2010

@nincompoop i am using SOH CAH TOA :D

11. Jhannybean

Now that you found w, use $$\large \cos(\theta) = \frac{w}{4}$$

12. highschoolmom2010

what is that symbol ^^

13. Jhannybean

sorry, $$\large \theta = x$$. So $\large \cos(x) = \frac{3}{4}$$\large x = \cos^{-1} \left(\frac{3}{4}\right)$

14. highschoolmom2010

$\cos (x)=\frac{ 3 }{ 4 }$

15. Jhannybean

$$\large \theta$$ = theta, it signifies an angle measurement.

16. katherine.ok

if cos x= 3/4 , punch in your calculator arccos(3/4) or equivalently, cos^-1(3/4)

17. highschoolmom2010

41.4=x

18. katherine.ok

arccos or cos^-1 is a function which returns degree or radians to fulfill the cos ratio. good job.

19. highschoolmom2010

ty :DD ima fast learner

20. highschoolmom2010

@katherine.ok @nincompoop @Jhannybean thanks for the help

21. Jhannybean

No problem.