Mathematics
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OpenStudy (darkbluechocobo):
Help with checking work on law of cosines
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OpenStudy (darkbluechocobo):
Use the Law of Cosines to solve each triangle with the given measures. Round answers to the nearest tenths. a = 0.48 yd, b = 0.63 yd, c = 0.75 yd
OpenStudy (darkbluechocobo):
|dw:1428615766951:dw|
OpenStudy (mathstudent55):
Which angle would you like to solve for first using the law of cosines?
OpenStudy (darkbluechocobo):
\[C=\cos^{-1}\frac{ .48^2+.63^2-.75^2 }{ 2(.48)(.63) }\]
OpenStudy (darkbluechocobo):
C first :p
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OpenStudy (darkbluechocobo):
sorry one moment alot to type in my calculator lol
OpenStudy (mathstudent55):
Ok.
Let me check.
\(C = \cos ^{-1} \dfrac{a^2 + b^2 - c^2}{2ab} \)
OpenStudy (mathstudent55):
Good. It looks like you have it correct.
OpenStudy (mathstudent55):
Did you get C = 83.8 deg?
OpenStudy (darkbluechocobo):
Still working on my parenthesis
I keep getting it mixed up S:
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OpenStudy (darkbluechocobo):
83.85 yes
OpenStudy (darkbluechocobo):
C=83.85 B=56.63
OpenStudy (mathstudent55):
Remember, they want the nearest tenth.
OpenStudy (darkbluechocobo):
I round it at the end
OpenStudy (darkbluechocobo):
oh wait this is the ennd
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OpenStudy (darkbluechocobo):
loool so C=83.9 B=56.6
OpenStudy (mathstudent55):
Correct.
Now for A, you can use the law of cosines again, or use the shortcut
A = 180 - B - C
OpenStudy (darkbluechocobo):
180-83.9-56.6
OpenStudy (darkbluechocobo):
39.5
OpenStudy (mathstudent55):
Correct. Good job!
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OpenStudy (darkbluechocobo):
Woop
OpenStudy (darkbluechocobo):
Its nice how in these types you can just simply move around digits and you can immediately get B
OpenStudy (darkbluechocobo):
Thank you for your help :D