## uri 3 years ago In figure 1if sin theta =0.5,what is the length of BC?

1. uri

|dw:1341857013568:dw|

2. saifoo.khan

sin theta = opp/hypotenuse

$\sin \theta= \frac{opposite~side}{hypotenuse}$

4. saifoo.khan

$\sin (0.5) = \frac{1}{AB}$Solve.

5. uri

I don't want the length of AB,I want the length of BC! @saifoo.khan

6. saifoo.khan

After you have AB, use Pythagoras to find it.

7. uri

if i get the value of theeta like theeta =arcsin(1/2) then i use tan theeta to find it how will i do it then @saifoo.khan

8. saifoo.khan

Look, sin x = opp/hyp. and you are given sin x = 1/2 This means that opp is 1 and hyp is 2.

9. saifoo.khan

Agree?

10. saifoo.khan

Now: b^2 + p^2 = h^2 1^2 + p^2 = 2^2 you will get p.

11. uri

$\tan \Theta = perpendicular \div base$

12. uri

|dw:1341858263323:dw|

13. saifoo.khan

14. saifoo.khan

You said you have to do it directly. -_-

15. uri

|dw:1341858302889:dw|

16. uri

17. saifoo.khan

1.83

18. uri

Wrong answer! :D i dont have this Option :) a)1.25 b)1.73 c)1.41 d)1.50

19. saifoo.khan

Ugh! let me check.

1.73 is right :D

21. saifoo.khan

If diya says it's correct. Then i will go with her.

22. uri

huh? And when i said? :P

23. saifoo.khan

No, you were good for nothing.

24. saifoo.khan

Infact, you are good for nothing. :D

Well, like @saifoo.khan said by pythagorus theorem 2^2 = BC^2 + 1^2 BC^2= 2^2-1^2 BC^2= 4-1=3 BC = $$\sqrt{3}$$=1.73

:D

27. saifoo.khan

Perfect. so i must have made a tiny mistake.

28. uri

You did not know how to solve IT!! @saifoo.khan i tried to do! you should appreciate me..instead of degrading! :/

29. saifoo.khan

@uri , Okay. C'mon now.. Don't take things seriously. I was kidding..

30. saifoo.khan

@uri , i really appreciate your math solutions.. They are mind blowing..

31. uri

K.