## highschoolmom2010 Group Title Find the value of each variable. If your answer is not an integer, express it in simplest radical form **check answer** one year ago one year ago

1. happytales Group Title

Um... missing something?

2. jdoe0001 Group Title

should we get popcorn while you type in the variables?

3. highschoolmom2010 Group Title

yall patience is a virtue

4. jdoe0001 Group Title

SOH CAH TOA

5. jdoe0001 Group Title

sounds like the tune of a hawaiian song, but that's all you need http://www.mathwarehouse.com/trigonometry/images/sohcohtoa/sohcahtoa-all.png

6. jdoe0001 Group Title

hmmm well, I see, you're using the 30-60-90 rule

7. jdoe0001 Group Title

well, hmm, still the 30-60-90 rule wouldn't end up using the sine function anyhow I mean you're given an angle's value, 30 degrees so I gather you're expected to use sine and cosine for that

8. jdoe0001 Group Title

9. jdoe0001 Group Title

hmm maybe not ...

10. jdoe0001 Group Title

in a 30-60-90 rule the smallest side, will half the longest that is "x" the smallest, is half 40 the longest and the OTHER side, is $$\bf \sqrt{3} \times \text{smallest side}$$

11. jdoe0001 Group Title

|dw:1375644053298:dw|

12. jdoe0001 Group Title

45-45-90 assumes you have 2 angles of 45 degrees you have there one of 30, and is a right triangle, so you have another of 90 and lastly one of 60

13. jdoe0001 Group Title

but yes, for the 45-45-90 rule, 2 sides are equal and the longest is $$\bf \sqrt{2}$$ of either side

14. jdoe0001 Group Title

well, for that you'd need to use the $$\bf \sqrt{3}$$ ratio for the longer side

15. jdoe0001 Group Title

|dw:1375644727216:dw|

16. jdoe0001 Group Title
17. jdoe0001 Group Title

those are the ratio relationships on a triangle with 30-60-90 angles if I were to stand up yours, it'd look like |dw:1375645193671:dw|

18. jdoe0001 Group Title

so, what part confuses? in a 30-60-90 rule, each side have a ratio relationship, as shown above

19. jdoe0001 Group Title

ok

20. jdoe0001 Group Title

so you want to know what "x" is in the triangle notice that the triangle has a hypotenuse of 40 and 2 angles, a 30 degrees one and a 90 degrees one the other internal angle has to be a 60 degrees one so that makes it a 30-60-90 triangle, whose side relationships are well known

21. highschoolmom2010 Group Title

i reposted it that way we wouldnt have all the ^^ in the way