## highschoolmom2010 2 years ago 3. a. What is m<Y to the nearest degree? b. Reasoning Suppose you know the lengths of all three sides of a right triangle. Does it matter which trigonometric ratio you use to find the measure of any of the three angles? Explain.

1. highschoolmom2010

2. saifoo.khan

Use trig ratios to solve a.

3. highschoolmom2010

$\tan^{-1}(y)=\frac{ 100 }{ 41 }$

4. saifoo.khan

It seems right to me.

5. highschoolmom2010

now how do i do that ^^ i get NaN when i put it into calculators

6. saifoo.khan

Which calc do you have?

7. saifoo.khan

8. highschoolmom2010

http://www.rapidtables.com/calc/math/Tan_Calculator.htm thats the calc i used

9. saifoo.khan

|dw:1375998733252:dw|

10. highschoolmom2010

so do i use tan 100/41 or tan ^-1(100/41)

11. highschoolmom2010

using both i got NaN

12. highschoolmom2010

im still new to this so im horrible at it

13. saifoo.khan

Use this.

14. saifoo.khan
15. saifoo.khan

Write 100/41 in the first box then click 'atan'.

16. highschoolmom2010

1.18169909573962

17. highschoolmom2010

but how can <y=1.2

18. phi

19. highschoolmom2010

-_- i gotta remember to click degrees

20. phi

that is too far off... atan(100/41)= ? deg

21. highschoolmom2010

omg one sec laptop being stupid

22. phi

I blame it on the loose nut behind the space bar

23. highschoolmom2010

$\approx68$

24. highschoolmom2010

@phi very funny you are

25. phi

67.706... deg

26. highschoolmom2010

@ phi it says to the nearest degree = rounding so $\approx68$

27. phi

ok

28. highschoolmom2010

so for part b i think that it does matter which function you use, but im not entirely sure why

29. phi

it should not matter, unless two of the legs are given with more precision than the 3rd side.

30. highschoolmom2010

what do you mean with more precision than the third

31. phi

if one side was sqrt(3), but they round it to 1.7, that would not be the best leg to use.... but I think you can use any of the trig functions if you know all 3 sides

32. highschoolmom2010

oh ok

33. highschoolmom2010

@saifoo.khan &@phi thanks for the help

34. phi

Part (b) is a strange question Does it matter which trigonometric ratio you use to find the measure of any of the three angles? one of the 3 angles is a 90 degree angle, and you would not use trig to find it.

35. highschoolmom2010

i saw that too but

36. highschoolmom2010

i wasnt sure on that part of it