warpedkitten
  • warpedkitten
Zack, Rachel, and Maddie are unraveling a huge ball of yarn to see how long it is. As they move away from each other, they form a triangle. The distance from Zack to Rachel is 3 meters. The distance from Rachel to Maddie is 2.5 meters. The distance from Maddie to Zack is 4 meters. Find the measures of the three angles in the triangle.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
looks like a law of cosines problem to me
warpedkitten
  • warpedkitten
It is, but I'm not understanding it. I've done similar problems and it seems like every time I try, I don't get any of the answer choices.
anonymous
  • anonymous
lets agree on this labelling, i will let you fill in the names etc

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More answers

anonymous
  • anonymous
|dw:1433387769343:dw|
anonymous
  • anonymous
B is opposite the largest side, so it is the largest angle, we can find that first
anonymous
  • anonymous
\[b^2=a^2+c^2-2ac\cos(B)\] but we want the angle so \[\cos(B)=\frac{a^2+c^2-b^2}{2ac}\]
anonymous
  • anonymous
filling in the numbers we get \[\cos(B)=\frac{3^2+2.5^2-4^2}{2\times 3\times 2.5}\]
anonymous
  • anonymous
take the arccosine to find B
princeevee
  • princeevee
satellite can you help me?
anonymous
  • anonymous
i must have made some mistake here
anonymous
  • anonymous
oh, no i didn't here use the calculator http://www.wolframalpha.com/input/?i=arccos%28%283^2%2B2.5^2-4^2%29%2F%282*3*2.5%29%29
anonymous
  • anonymous
looks like the largest angle is \(92.87^\circ\) find the next one of your choice using the law of sines
warpedkitten
  • warpedkitten
I've got it now, thank you!

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