Given 🔺ABC with a = 24 b=13.75, angle A = 108⁰ and angle B = 33⁰, find c. Round the sine value to the nearest thousandth and the answer to the nearest hundredth.

39.00

17.83

15.87

13.74

Question

Given 🔺ABC with a = 24 b=13.75, angle A = 108⁰ and angle B = 33⁰, find c. Round the sine value to the nearest thousandth and the answer to the nearest hundredth.

		
39.00

		
17.83

		
15.87

		
13.74

rhondasommer · Answer

Sean :)

sweetburger · Answer

Angle C is found easily by 180 - 108 -33 = 39

rhondasommer · Answer

|dw:1461253655403:dw|
hmm ok

sweetburger · Answer

So we use the law of sins again
because it states 
$$\sin(c)/c = \sin(a)/a = \sin (b) /b$$
so we will only consider 
$$\sin(a)/a = \sin(c)/c$$

sweetburger · Answer

$$\sin(108)/(24) = \sin(39)/c $$
solve for c

rhondasommer · Answer

0.951*C=24*0.629
0.951*C=15.096
C=15.87

sweetburger · Answer

looks good @RhondaSommer

rhondasommer · Answer

sweer

rhondasommer · Answer

Given 🔺ABC with a = 9 angle A = 80⁰ and angle B = 35⁰, find b. Round the sine value to the nearest thousandth and the answer to the nearest hundredth.

		
		
5.24

		
6.53

		
8.28

		
67.00