cutiecomittee123
  • cutiecomittee123
a few law of sines questions! PLEASE HELP!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Pinkpiggy
  • Pinkpiggy
ok, shoot
Pinkpiggy
  • Pinkpiggy
ill try my best
cutiecomittee123
  • cutiecomittee123
|dw:1450147814007:dw|

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Pinkpiggy
  • Pinkpiggy
What grade?
cutiecomittee123
  • cutiecomittee123
precalculus
Pinkpiggy
  • Pinkpiggy
ok, whats the question
cutiecomittee123
  • cutiecomittee123
find the missing sides and angles of that triangle using law of sines
Pinkpiggy
  • Pinkpiggy
ok, give me a min
anonymous
  • anonymous
|dw:1450148031997:dw|
cutiecomittee123
  • cutiecomittee123
are you sure? the unit right now is just law of sines, but we can try law of cosines
anonymous
  • anonymous
the other angle you find easily because the sum is 180
anonymous
  • anonymous
what is the remaining angle?
cutiecomittee123
  • cutiecomittee123
Yeah so 180-45-15=120
anonymous
  • anonymous
you do not need the law of cosines, you have all three angles
anonymous
  • anonymous
|dw:1450148144666:dw|
cutiecomittee123
  • cutiecomittee123
I think I have it from here, Idk why I was confused. Let me try this and Ill tell you guys what I get
anonymous
  • anonymous
\[\frac{a}{\sin(A)}=\frac{b}{\sin(B)}\] you know three of those four numbers
cutiecomittee123
  • cutiecomittee123
so 200/sinA=x/sin45
anonymous
  • anonymous
Angle B = 180-60 = 120 degrees a =
anonymous
  • anonymous
no your equation is not right use the one i wrote, but put in the numbers that you know
cutiecomittee123
  • cutiecomittee123
alright, I am officially stuck
anonymous
  • anonymous
do you see the equation i wrote above?
cutiecomittee123
  • cutiecomittee123
I knew the equation you gave me, I dont know which numbers to plug into it
cutiecomittee123
  • cutiecomittee123
which one is A, and which one is A
anonymous
  • anonymous
\[\frac{a}{\sin(A)}=\frac{b}{\sin(B)}\] look at the labelling of the triangle what is angle A
cutiecomittee123
  • cutiecomittee123
B
cutiecomittee123
  • cutiecomittee123
x/45=200/sinB
anonymous
  • anonymous
it depends on how you label it, but you drew the picture with the angles labelled
cutiecomittee123
  • cutiecomittee123
oops I mean x/sin45=3200/sinB
anonymous
  • anonymous
wait hold on a second i think i see what the problem is
cutiecomittee123
  • cutiecomittee123
ohh lol I forgot about the angle
cutiecomittee123
  • cutiecomittee123
x/sin45=200/sin120
anonymous
  • anonymous
in order to keep all of this striaight, we usually adopt the following convention the side opposite angle \(A\) is \(a\) , the side opposite angle \(B\) is \(b\) and opposite \(C\) is \(c\)
anonymous
  • anonymous
that way \[\frac{a}{\sin(A)}=\frac{b}{\sin(B)}\] makes sense
cutiecomittee123
  • cutiecomittee123
Yeah so the equation I just posted should be right
anonymous
  • anonymous
no x's in other words
anonymous
  • anonymous
what side are you solving for?
cutiecomittee123
  • cutiecomittee123
so then a/sin45=200/sin120
anonymous
  • anonymous
bingo
anonymous
  • anonymous
making \[a=\frac{200\sin(45)}{\sin(120)}\] and a calculator
cutiecomittee123
  • cutiecomittee123
|dw:1450148617412:dw|
cutiecomittee123
  • cutiecomittee123
When plugged into my calculator 200sin45/sin120=163.299 dont I take the inverse sin now?
mathmate
  • mathmate
@cutiecomittee123 To make things easier, we usually label angles of a triangle with a capital letter, and the OPPOSITE side with the lower case letter of the angle. See @satellite73 's figure, and there will be no confusion.
anonymous
  • anonymous
you are not looking for an angle you are looking for a side whatever number you get is the answer
anonymous
  • anonymous
in other words, no, don't take the inverse sine
anonymous
  • anonymous
not that you could anyway, since there is no arcsine of a number larger than 1!
cutiecomittee123
  • cutiecomittee123
No, we are solving for the side I thought?
anonymous
  • anonymous
right, the side so you are done
cutiecomittee123
  • cutiecomittee123
sweet, thanks for everyones help!!
anonymous
  • anonymous
yw

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