katherinesmith
  • katherinesmith
Find side AC. Round your answer to the nearest hundredth.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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katherinesmith
  • katherinesmith
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Psymon
  • Psymon
Do you know about sin, cos, and tan?
katherinesmith
  • katherinesmith
yes

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Psymon
  • Psymon
Do you have an idea which one of the 3 you would need to use for this problem?
katherinesmith
  • katherinesmith
well i know the hypotenuse of side AC but i don't know any other side. so i guess either sin or cos?
Psymon
  • Psymon
Well, the question wants side AC, so you want to use the trig function that includes that hypotenuse and the missing AC side.
katherinesmith
  • katherinesmith
so cos?
Psymon
  • Psymon
Yep. So you have cos(40) = x/3 where x represents the AC side we do not know.
katherinesmith
  • katherinesmith
.766 = x/3 ?
Psymon
  • Psymon
Its usually best to get the x by itself first if possible. It makes the answer a slight bit more accurate.
katherinesmith
  • katherinesmith
how am i supposed to do that
Psymon
  • Psymon
Well, if you had x - 5 = 3, you would do the opposite and add by 5, right?
katherinesmith
  • katherinesmith
x = cos40/3 ?
Psymon
  • Psymon
You did the wrong operation. x/3 is divison by 3, so you want to do the opposite of division.
katherinesmith
  • katherinesmith
so x = 3/cos40
Psymon
  • Psymon
How did cos(40) get on bottom? :P So we have: \[\cos(40) = \frac{ x }{ 3 } \]So when we want x by itself, we have to do opposite operations. So since we have a division of 3, we want to multiply both sides by 3 \[(3)(\cos40) = \frac{ (3)x }{ 3 }\implies 3\cos40 = x \] Kinda make sense?
katherinesmith
  • katherinesmith
lol i had that when i said .766 = x/3. the next step was that.
katherinesmith
  • katherinesmith
the answer is 2.29
Psymon
  • Psymon
Right. I just meant to say that doing the multiplication of 3 first is usually more accurate. If you put 3cos(40) on your calculator, it comes out a bit more accurate then if you do cos40 = .766 then times 3. Its just a good habit I suppose xD But yeah, looks right :p So that is your side AC.
katherinesmith
  • katherinesmith
okay. i have a few other questions, if i post them would you be willing to help me?
Psymon
  • Psymon
Yeah, sure.

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