## cutiecomittee123 one year ago FInd sin55 using ratios of sides of the given triangle. Check using calculator

1. freckles

sin(55) is opposite/hyp

2. freckles

well opposite side of that angle with measure 55 deg/hyp of the triangle

3. cutiecomittee123

|dw:1441827397217:dw|

4. cutiecomittee123

I solved for both a and b and got a= 20.48 b= 14.34

5. freckles

ok and I guess you rounded to the nearest hundredth a is correct

6. freckles

checking b

7. freckles

that is also correct

8. cutiecomittee123

okay so to set up the problem it would be sin(55)=14.34/25 right?

9. freckles

didn't you already solve the problem?

10. freckles

also how could sin(55) be 14.34/25 when it was sin(55)=a/25 and you got a to be 20.48?

11. cutiecomittee123

I guess I am confused. Because I found a and b and then it is asking me to find sin55.. but i tested ratios of sides and everthing comes out false

12. freckles

well you solved sin(55)=a/25 for a correct?

13. freckles

and you got a to be 20.48?

14. freckles

so sin(55)=20.48/25

15. cutiecomittee123

oh gotcha! that makes way more sense so the ratio was just that

16. freckles

yes replace a with what it equals not what b equals :p

17. freckles

$\sin(35)=\frac{b}{25} \\ \text{ so you could say } \sin(35)=\frac{14.34}{25}$

18. freckles

just if they asked you to do sin(35)

19. freckles

notice I replaced b with 14.34 since that is what you found b to be