## loser0123456 2 years ago Help

1. loser0123456

I have an opposite leg of a right triangle that is 40mm long, I have an adjacent leg of 165mm what is the measure of angle a which is the angle in between the hypotenuse and the adjacent leg

2. loser0123456

what is the sine, cosine, and tangent ratios for ∠ A.

3. DingusBrain

4. loser0123456

ok that is what I wanted

5. DingusBrain

first of all we need to use cosine since were dealing with adjacent/hypotenuse

6. DingusBrain

what we first want to do tho is use tangent to find the length of the hypotenuse

7. DingusBrain

actually for the hypotenuse we could do a^2=b^2=c^2

8. loser0123456

9. begzat

But he need to find the angle

10. begzat

not the hypotenuse

11. DingusBrain

begzat

12. DingusBrain

to find the angle you need to find the hypotenuse

13. begzat

no

14. DingusBrain

yep

15. DingusBrain

169.78 is the length of the hypotenuse

16. loser0123456

the hypotenuse is 170 so we dont need to find it

17. begzat

do you know what is Trigonometric Ratios

18. DingusBrain

alright then from there is pretty simple

19. loser0123456

i rounded

20. begzat

if you know Trigonometric Ratios formula you can find very easy the angle

21. loser0123456

ok but what are the steps i forgot

22. begzat

okay i will post the formulas and you will find wich one you need to use

23. loser0123456

ok

24. begzat

25. begzat

know which one you need to use

26. begzat

now***

27. loser0123456

so I need to use cosine

28. begzat

no because you know opposite and adjacent leg

29. loser0123456

i also know hypotenuse it is 170

30. begzat

but on the question it said that you know opp. and adj.

31. begzat

you can use tan if you want

32. loser0123456

I forgot to post the hypotenuse

33. begzat

okay so you can use all

34. loser0123456

but which one helps me find my angle

35. begzat

all

36. begzat

37. loser0123456

well can you help me with the steps for cos

38. Directrix

>well can you help me with the steps for cos The cosine of an acute angle of a right triangle is the ratio of the length of the leg adjacent to the hypotenuse to the hypotenuse length. cos(A) = 165/169.78 cos(A) = 0.9718459 approx A = ? |dw:1362220656246:dw|