## anonymous one year ago Help.. A 6-meter pole is supported by guy wires that are anchored to the ground as shown. What is sin D? A) 3/6.71 B) 6.71/6 C) 3/6 D) 6/6.71 Link to question is below 👇👇

1. anonymous
2. mathstudent55

Do you know SOHCAHTOA?

3. anonymous

Nope. 😪

4. mathstudent55

SOHCAHTOA is a way to memorize which sides make the ratios of sine, cosine and tangent.

5. anonymous

okay katelyn what is the height

6. anonymous

basically katelyn what im saying sin=b/h

7. anonymous

Whaleee, the height of the triangles sides are both 6.71m I believe. The link I put has the picture of it if you need to refer to it. 👌😄

8. mathstudent55

SOH: $$\sin \theta = \dfrac{opp}{hyp}$$ CAH: $$\cos \theta = \dfrac{adj}{hyp}$$ TOA: $$\tan \theta = \dfrac{opp}{adj}$$ The initials S (sine), C (cosine), T (tangent), O (opposite leg), A (adjacent leg), and H (hypotenuse) are used in the mnemonic above.

9. anonymous

Mhm

10. mathstudent55

You are asked for the sine. Looking above, or remembering the SOH part of SOHCAHTOA, you see that $$\sin \theta = \dfrac{opp}{hyp}$$

11. anonymous

do you know what the answer is?

12. anonymous

Yes, opposite over hypotenuse

13. mathstudent55

Now look at angle D. For angle D, which side is the opposite leg? Which side is the hypotenuse?

14. anonymous

no..

15. anonymous

do you know what the base if a triangle is?

16. mathstudent55

|dw:1434392815161:dw|

17. mathstudent55

|dw:1434392858828:dw|

18. anonymous

Oh crap @mathstudent55 I totally forgot...oh.....ok so I get you

19. mathstudent55

Fill in the blanks: |dw:1434392884772:dw|

20. anonymous

And @bdavis07 uhhh, the base? i think since one side is 3 the other must be 3 so its 6 and @mathstudent55 ok, hold up let me think.....ok 6/6.71 would be sin

21. anonymous

no no no. base is three and the height is 6 so b/h

22. anonymous

base over height

23. mathstudent55

The 3 m base of the small triangle to the left, or the 6 m base of the entire triangle, is not used in this problem. All we need here is the opposite leg and the hypotenuse since the sine ratio is the ratio of the opposite leg to the hypotenuse.

24. anonymous

OKKKKK oh my goodness thank you so much!!! Honestly, I didn't even read it....I was just trying to get the answer fast....maybe I'm to honest...aha...lol thanks. I'm in summer school so this stuff is pretty overwhelming because i've forgotten a lot and i'm not that good at geometry..Thankyou both very much. 😄

25. mathstudent55

|dw:1434393143216:dw|

26. anonymous

6.71 and 3

27. mathstudent55

Don't get overwhelmed. Just study a lot, and ask lots of questions. That's how you learn.

28. anonymous

29. anonymous

30. mathstudent55

|dw:1434393288530:dw|

31. mathstudent55

The answer is $$\sin D = \dfrac{6}{6.71}$$

32. mathstudent55

@bdavis07 There is no base/height here.