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

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geoffb
 3 years ago
Best ResponseYou've already chosen the best response.1Are 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).

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

Life
 3 years ago
Best ResponseYou've already chosen the best response.0my diagram looks exactly like yours

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

Life
 3 years ago
Best ResponseYou've already chosen the best response.0i got a long decimal, although the choices im giveb are all whole numbers

geoffb
 3 years ago
Best ResponseYou've already chosen the best response.1Okay, 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.

Life
 3 years ago
Best ResponseYou've already chosen the best response.0wait, dont i use the law of sine?

Life
 3 years ago
Best ResponseYou've already chosen the best response.0idk 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

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

geoffb
 3 years ago
Best ResponseYou've already chosen the best response.1\[\sin B = \frac{15 \sin 33}{12}\]

geoffb
 3 years ago
Best ResponseYou've already chosen the best response.1Is 43 one of the possible answers?

Life
 3 years ago
Best ResponseYou've already chosen the best response.0yea, so i dont find the inverse?

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

geoffb
 3 years ago
Best ResponseYou've already chosen the best response.1No problem. Have a good night. :)
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