## zhane2015 2 years ago Heyy PARTY PEOPLE!! Help me, and u can get a fan or a medal!! 9. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. triangle with sides X, 11 and a 24 degree angle (2 points)

1. zhane2015

|dw:1361201598838:dw|

2. amistre64

what do you know about trig functions?

3. zhane2015

I need a walkthough

4. zhane2015

sine cosine and tangent

5. amistre64

|dw:1361201660763:dw|

6. amistre64

which trig function uses the next.to (adjacent) and hypotenuse

7. amistre64

tangent never looks at the hypotenuse; tan = over/nextto whats you next best one?

8. amistre64

might help to write out the functions :) just as a review

9. zhane2015

Cosine

10. amistre64

cosine is the winner !! now, cosine = next.to/ hypotenuse

11. amistre64

with what is given that leaves us: cos(24) = 11/x can you solve for x?

12. zhane2015

manually?? or can i use a calculator?

13. amistre64

youll need a calculator or table to determine cos(24) but just the setup would be useful. How would we move this equation around to solve for x?

14. zhane2015

I have NO CLUE, but the calculator is telling me 12.04

15. amistre64

cos(24) = 11/x x = 11/cos(24) and yes, abt 12.04 is what i get as well http://www.wolframalpha.com/input/?i=11%2Fcos%2824%29

16. zhane2015

Oh ok thanks I understand now, and I have another question if you don't mind

17. amistre64

if its a quick one, I have real job stuff that i have to attend to :)

18. zhane2015

kk hold on

19. zhane2015

What is the value of w to the nearest degree? Diagram (1 point) 25° 35° 40° 45° |dw:1361202248583:dw|

20. amistre64

the idea is to find v in order to find w, right?

21. zhane2015

If this isn't quick you don't have to help, I don't want to waste your time

22. zhane2015

but yes

23. amistre64

itll be quick enough, go ahead and write out the sin cos tan function for me so we can reference them

24. zhane2015

sin = Opposite/Hyp. cos = adjacent/ Hyp. tan= opposite/adjacent

25. amistre64

lets name the parts to compare as well |dw:1361202408276:dw|

26. amistre64

in my mind, over is the same as opposite :)

27. zhane2015

oh ok,

28. amistre64

so, would you agree that the sine function works best for us on this one?

29. zhane2015

Yes

30. amistre64

sin(65) = v/15 ; v = 15 sin(65) sin(w) = v/21, replacing the value of v we get sin(w) = 15 sin(65)/21 this make sense so far?

31. zhane2015

yes, I think i got it from here, Thanks

32. amistre64

good :) keep in mind that to find w we need to do an inverse sin operation

33. zhane2015

I gotcha ;)