anonymous
  • anonymous
Triangle LMN has vertexes at L(-1, -6), M(1, -6), and N(1, 1). Find the measure of angle L to the nearest degree. (Hint: Sketch the triangle on the coordinate plane and find the side lengths using the Distance Formula first.)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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DanJS
  • DanJS
k
anonymous
  • anonymous
I found the other length for LN and it would be 7.28
anonymous
  • anonymous
MN is 7 and LM is 2.

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DanJS
  • DanJS
|dw:1441238664615:dw|
jdoe0001
  • jdoe0001
ok yes, I'd say, get the segment's length first, then use the law of cosines \(\bf \cfrac{{\color{blue}{ a}}^2+{\color{red}{ b}}^2-c^2}{2{\color{blue}{ a}}{\color{red}{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{\color{blue}{ a}}^2+{\color{red}{ b}}^2-c^2}{2{\color{blue}{ a}}{\color{red}{ b}}}\right)=\measuredangle C\)
DanJS
  • DanJS
I think you miscalculated the LM side length, it is for sure larger than 2
anonymous
  • anonymous
How would it not be 2. Like i did the distance formula and used the graph and its 2 lol
DanJS
  • DanJS
sorry, i see
DanJS
  • DanJS
|dw:1441239106211:dw|
DanJS
  • DanJS
my mistake
DanJS
  • DanJS
so you have... |dw:1441239177811:dw|
anonymous
  • anonymous
and 7.28
DanJS
  • DanJS
it is actually a right triangle,
anonymous
  • anonymous
yes
DanJS
  • DanJS
MN is vertical, have same x coordinate and LM is horizontal with the same y coordinate
DanJS
  • DanJS
you can use whichever trig function now since it is a right triangle
DanJS
  • DanJS
tangent of L is the opposite side over the adjacent side
DanJS
  • DanJS
Tan(L) = 7/2
DanJS
  • DanJS
it was actually pretty easy, no law of cosines to calculate...just my plotting points wrong to start
anonymous
  • anonymous
But how do you get L?
DanJS
  • DanJS
have you used the arctangent function? tan^(-1) ...usually 2nd or shift and tangent on the calculator
anonymous
  • anonymous
so it'd be 74.1?
DanJS
  • DanJS
looks about right
anonymous
  • anonymous
And N would be 16?
DanJS
  • DanJS
tan^(-1)(7/2) =
DanJS
  • DanJS
yeah the three angles total 180
anonymous
  • anonymous
Thanks !
DanJS
  • DanJS
no prob, welcome

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