## Ammarah 2 years ago Use a sine or cosine ration to find the value of each variable. Round decimals to the nearest tenth.

1. Ammarah

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2. mathstudent55

In these triangle problems you have to look at the information you are given. First, look at the right angle. The side opposite that angle is the hypotenuse. In this case it's "n". Then look at the angle that is not the right angle that you either have an angle measure or is an unknown you are solving for. Here it's a 50-degree angle. For the 50-degree angle, side "m" is next to it. So side m is adjacent to that angle of 50 degrees. the leg that measures 8 is opposite to the 50-degree angle.

3. syhna

4. mathstudent55

To solve for n, keep in mind n is the hypotenuse. For the angle of 50 degrees, the only known side is the leg the measure 8 which is opposite the 50-deg angle. So you have an angle, and opposite side and a hypotenuse. What connects the opposite side to the hypotenuse? It's the sine bec sin A = opp/hyp sin 50 = opp/hyp sin 50 = 8/n n = 8/sin 50 To solve for m, once again, look at the 50-deg angle. The side measuriong 50 is next to it, so it's an adjacent side. You need to connect the adjacent side to the hypotenuse which is n, so you use the cosine function: cos 50 = adj/hyp cos 50 = m/8 m = 8/cos 50

5. AravindG

@mathstudent55 nicely explained :)

6. Ammarah

7. AravindG

i got 10.44

8. AravindG

n=10.44

9. AravindG

@Chickenisgood delete that u will get banned

10. Ammarah

but it says to round to the nearest tenth

11. AravindG

ok then it will be 10.4

12. Ammarah

when u find the cos and the sin how many decimal places do u use?

13. AravindG

depends on hw it should be reported i use 2 decimal places

14. Ammarah

but does it give u differnt answers? cuz in the book it uses four

15. AravindG

well 10.4 is the nearest value from 10.44

16. Ammarah

u mean from 10.5?

17. AravindG

from 10.44

18. Ammarah

so the answer is 10.4 right?