## anonymous one year ago What is the value of x? A. 4 B. 4 squared root 3 C. 8 square root 3 D. 16

1. anonymous

2. anonymous

Are you familiar with SOH CAH TOA?

3. anonymous

nope

4. anonymous

|dw:1433302386839:dw|

5. anonymous

ok, we have the right angle triangle with the known angle at the top

6. anonymous

|dw:1433302458260:dw|

7. anonymous

okkay

8. anonymous

in relation to the angle, the sides are labelled as in the diagram

9. anonymous

SOH stands for sin = opposite/hypotenuse

10. anonymous

CAH stands for cos = adjacent/hypotenuse

11. anonymous

and TOA stands for tan = opposite/adjacent

12. anonymous

|dw:1433302662566:dw|

13. anonymous

So what side of the triangle is the 8?

14. anonymous

tan?

15. anonymous

nope, its either opposite, adjacent or hypotenuse look at the diagram

16. anonymous

hypotenuse

17. anonymous

correct

18. anonymous

what side is the x?

19. anonymous

opposite

20. anonymous

that's right. which of sin, cos, or tan feature both opposite and hypotenuse?

21. anonymous

sin

22. anonymous

yep

23. anonymous

so now we have our equation

24. anonymous

$\sin \theta=x/8$

25. anonymous

theta is the angle which is 30 degrees

26. anonymous

sin(30) = x/8

27. anonymous

now solve for x

28. anonymous

can you do that?

29. anonymous

yes hold on

30. anonymous

wait no...how do you find x?

31. anonymous

we want to get x by itself

32. anonymous

how would you get rid of the 8?

33. anonymous

uhh..i dont know

34. anonymous

what is the opposite of division

35. anonymous

multiplication

36. anonymous

correct. So you can think of the x/8 as x divided by 8. To undo this just multiply both sides of the equation by 8.

37. anonymous

so would it be 8*8

38. anonymous

|dw:1433303730916:dw|

39. anonymous

240?

40. anonymous

put your calculator in degree mode

41. anonymous

i dont have a calculator...i have my computer one

42. anonymous
43. anonymous

i had to step away sorry

44. anonymous

its 4

45. anonymous

thats right

46. anonymous

47. anonymous

yep

48. anonymous

thanks for tolerating my dumb self and for being so patient :)

49. anonymous

no problem. Just curious, what grade are you in?

50. anonymous

8th yes im dumb and very slow when it comes to math but im very good in reading and writing so dont think im all the way dumb lol

51. anonymous

lol I wasn't implying that at all, I just haven't done this stuff in a while and was wondering when they teach this stuff

52. anonymous