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OpenStudy (tylermckinney16):
Questions here
OpenStudy (tylermckinney16):
@Directrix
OpenStudy (anonymous):
Solve the following equation for b.\[\frac{b}{\sin (32 {}^{\circ})}=\frac{5.7}{\sin (180 {}^{\circ}-(69 {}^{\circ}+32 {}^{\circ}))} \]b = 3.07707
OpenStudy (tylermckinney16):
Is it 3.08?
OpenStudy (mrnood):
do you understand the steps needed to get to @robtobey's equation?
First:
find the value of angle C using the fact that 3 angles in a triangle sum to 180 deg
Second:
Use the sin rule to find side b:
5.7/sin C = b/sin 32
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OpenStudy (tylermckinney16):
ok what next?
OpenStudy (mrnood):
First:
find the value of angle C using the fact that 3 angles in a triangle sum to 180 deg
OpenStudy (mrnood):
So - I've helped you with 'what's next' - are you going to work out the value of angle C?
OpenStudy (tylermckinney16):
I wanna say its C=79?
OpenStudy (tylermckinney16):
69+32+79=180.
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OpenStudy (tylermckinney16):
@MrNood
OpenStudy (mrnood):
yes 79 is correct
so
Second:
Use the sin rule to find side b:
5.7/sin 79 = b/sin 32
sin 79 and sin 32 are just numbers - so you can work out b form there...
OpenStudy (tylermckinney16):
Whats the sin rule mean again?
OpenStudy (tylermckinney16):
@MrNood
OpenStudy (mrnood):
5.7/sin 79 = b/sin 32
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OpenStudy (mrnood):
|dw:1456758196491:dw|
sin rule is
a/sin A = b/ sin B = c/ sin C
or in this question
5.7/sin 79 = b/sin 32 (= c/sin 69)
so in this equation you know all except b
5.7/sin 79 = b/sin 32
so you can work out b