Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (anonymous):

now how bout this?

OpenStudy (anonymous):

OpenStudy (anonymous):

k?

OpenStudy (anonymous):

Confused much?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

i just like asking questions

OpenStudy (anonymous):

I see.

OpenStudy (anonymous):

to ask and answer i use google

OpenStudy (igreen):

In \(△ADB,∠ADB=(180−18−30)^∘=132^∘\) Applying sine law in \(△ADB\), \(\Large\frac{AB}{sin132^∘}=\frac{AD}{sin30^∘}⟹AD=\frac{AB}{2sin48^∘}\) as \(sin132^∘=sin(180−132)^∘=sin48^∘\) \(∠ABC=∠BAC=\Large\frac{1806^∘−96^∘}{2}=42^∘\) Applying sine law in \(△ABC\), \(\Large\frac{AC}{sin42^∘}=\frac{AB}{sin96^∘}⟹\frac{AC}{AB}=\frac{sin42^∘}{sin96^∘}=\frac{cos48^∘}{2sin48^∘cos48^∘}\) (applying \(sin~2A=2~sin~A~cos~A\)) So, \(AC=\Large\frac{AB}{2sin48^∘}⟹AC=AD\) So, \(∠ACD=∠ADC=\Large\frac{(180−24)^∘}{2}=78^∘\)

OpenStudy (anonymous):

AWESOME YOU ARE SOOO COOL

OpenStudy (igreen):

That one took forever

OpenStudy (anonymous):

sorry but that was awesome

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!