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In triangle ABC, measure of angle A=33, a=12,b=15, what is the measure of angle b to the nearest degree?
 one year ago
 one year ago
In triangle ABC, measure of angle A=33, a=12,b=15, what is the measure of angle b to the nearest degree?
 one year ago
 one year ago

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geoffbBest ResponseYou've already chosen the best response.1
Are you given a diagram? You should be able to use sin, cos, or tan to find angle B, since you know two sides (a and b).
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Does it look like that?
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
If so, use a rule like \(\tan B = \frac{15}{12}\), though it might be different depending on your diagram.
 one year ago

LifeBest ResponseYou've already chosen the best response.0
my diagram looks exactly like yours
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Perfect! You can solve for B using \(\tan^{1} (\frac{15}{12})\) then.
 one year ago

LifeBest ResponseYou've already chosen the best response.0
i got a long decimal, although the choices im giveb are all whole numbers
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Okay, wait... If the triangle was a rightangle triangle, you could have solved for B by simply subtracting 9033. So I imagine that's not the case. It's not a rightangle triangle, I'm guessing.
 one year ago

LifeBest ResponseYou've already chosen the best response.0
wait, dont i use the law of sine?
 one year ago

LifeBest ResponseYou've already chosen the best response.0
idk man do you know why i keep getting the decimal, all im doing is putting in the inverse of tan(15/12) into my calculator
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
No, forget I said that. That was for a rightangle triangle. Like you said, you need to use the law of sines. \(\Large\frac{a}{\sin A} = \frac{b}{\sin B}\) \(\Large\frac{12}{\sin 33} = \frac{15}{\sin B}\)
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
\[\sin B = \frac{15 \sin 33}{12}\]
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Is 43 one of the possible answers?
 one year ago

LifeBest ResponseYou've already chosen the best response.0
yea, so i dont find the inverse?
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Yes, you do. We got: \[\sin B = \frac{15 \sin 33}{12}\] so... \[B = \sin^{1} (\frac{15 \sin 33}{12})\]
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
No problem. Have a good night. :)
 one year ago
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