Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

Find the angles Diagram below, I've found one angle on my own and need help finding the others.

OpenStudy (anonymous):

|dw:1429759543021:dw|

OpenStudy (anonymous):

So I got c= 10.98 DEG

OpenStudy (matt101):

How did you find that?

OpenStudy (anonymous):

I used the formula

OpenStudy (anonymous):

Uhm let me find it.. \[\frac{ \cos C = (a2 + b2 − c2) }{ 2ab }\]

OpenStudy (anonymous):

Thos are suppose to be squared

OpenStudy (matt101):

Right - you used the cosine law. Why not just use it two more times for the other two angles? Or better yet, use it once more, then subtract the two angles you have from 180 to find the third!

OpenStudy (anonymous):

I just don't know the cosine law for the other two angles >.<

OpenStudy (matt101):

It's exactly the same! Don't get stuck on the fact that a, b, and c in your equation need to correspond exactly to a, b, and c in the figure. They're just three variables. This time, set say you want to find angle a in your figure. Then a and b in your equation will be the two adjacent sides (in this case, sides b and c), and c in your equation will be the opposite side (in this case, side a).

OpenStudy (anonymous):

Let me see...

OpenStudy (xapproachesinfinity):

hehe why did you leave the other post lol

OpenStudy (anonymous):

Let me see...\[4^2+1.2^2-2(4)(1.2)Cos(B)\]

OpenStudy (anonymous):

Is that right?

OpenStudy (xapproachesinfinity):

that equals to 3^2

OpenStudy (xapproachesinfinity):

how can solve without euqlity

OpenStudy (xapproachesinfinity):

\[\cos B=\frac{4^2+(1.2)^2-3^2}{2(4)(1.4)}\]

OpenStudy (xapproachesinfinity):

B=28.4579982553 repeat the same thing with other angle

OpenStudy (xapproachesinfinity):

don't use radians in calculator otherwise you will always get wrong answers

OpenStudy (anonymous):

Wait now I'm super confused

OpenStudy (anonymous):

28.4579982553 can't be right

OpenStudy (anonymous):

Because 3 is VERY close to 4 and I can't see 3 being the 2nd largest and far larger than 1.2 so how does it get such a small angle?

OpenStudy (matt101):

28.46 is correct! Which makes the third angle what?

OpenStudy (matt101):

(PS. your drawing is not to scale so the angles won't necessarily match what you see in the picture)

OpenStudy (anonymous):

But whattt that makes the third angle like 150 ._.

OpenStudy (matt101):

So? What's wrong with that? |dw:1429761969693:dw| ^That's what your triangle really looks like!

OpenStudy (xapproachesinfinity):

for me makes perfect sense the way you reasoning is off hehe if you actually draw to scale you will see that the two angles are small and one is huge the diagram provided by @matt is good to illustrate this

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!