## cutiecomittee123 one year ago A 50 foot tree asts its shadow 75 feet long. How can you find sine for the angle of elevation determined by the sun and the top of the tree?

1. anonymous

2. Here_to_Help15

@*ImaBeMe* I find that irrelevant,if your not going to help please hit that log out option and annoy someone else.

3. jim_thompson5910

hint: |dw:1441844647460:dw| solve for $$\Large \theta$$

4. cutiecomittee123

I agree please leave if you arent willling to help I am trying to keep my schedule organized and I actually am in need of help. this is not a dating website.

5. Here_to_Help15

@ganeshie8 @jim_thompson5910

6. jim_thompson5910

another hint: |dw:1441844715344:dw|

7. anonymous

8. cutiecomittee123

this is precalculus incase youre wondering.

9. jim_thompson5910

if you aren't familiar with the trig ratios, this chart may help http://passyworldofmathematics.com/Images/pwmImagesSix/TrigRatiosSix550x389JPG.jpg

10. cutiecomittee123

alright so sinfeta=50/x

11. cutiecomittee123

then take the inverse right?

12. cutiecomittee123

@jim_thompson5910

13. jim_thompson5910

theta = $$\Large \theta$$ it's a greek letter

14. cutiecomittee123

Oh gotcha

15. jim_thompson5910

which two sides are known to us? (pick between opposite, adjacent, hypotenuse)

16. cutiecomittee123

17. jim_thompson5910

yep, which trig function uses opposite and adjacent?

18. cutiecomittee123

but it is asking to find sine

19. jim_thompson5910

oh I see, I was thinking they just wanted theta, nvm

20. jim_thompson5910

ok so you'll need the hypotenuse first because sin(theta) = opp/hyp

21. Here_to_Help15

Wait up i remember this in Geometry, are you sure it isnt Geometry

22. jim_thompson5910

so use the pythagorean theorem to find x |dw:1441845085421:dw| a^2 + b^2 = c^2 50^2 + 75^2 = x^2 x = ???

23. cutiecomittee123

you do learn this in geometry, if you want to try and give it a shot, i wont stop you lol

24. cutiecomittee123

c=90.14

25. cutiecomittee123

sintheta=50/90.14

26. jim_thompson5910

you have one more step to go

27. cutiecomittee123

uhh that is where i need help

28. cutiecomittee123

dont you just take the inverse

29. jim_thompson5910

use a calculator to compute 50/90.14

30. cutiecomittee123

okay i got .5546

31. jim_thompson5910

I'm getting 50/90.14 = 0.55469270024407 which rounds to 0.5547

32. cutiecomittee123

yes!

33. cutiecomittee123

and that is what the angle sin is equal to right?

34. jim_thompson5910

that decimal value is equal to $$\Large \sin(\theta)$$, yes

35. cutiecomittee123

okay cool, and that is it right?