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Mathematics 18 Online
OpenStudy (kkbrookly):

Help please

OpenStudy (dugalde):

I will help

OpenStudy (anonymous):

with??

OpenStudy (dugalde):

length of A is 20

OpenStudy (kkbrookly):

How'd you get that?

OpenStudy (butterfield1215):

use mathway.com

OpenStudy (jdoe0001):

what's the exercise meant to cover anyway?

OpenStudy (dugalde):

I used the The Pythagorean Theorem

OpenStudy (xapproachesinfinity):

use law of cosines

OpenStudy (kkbrookly):

It's a review of this unit. The whole thing is over triangles.

OpenStudy (xapproachesinfinity):

lenght of A supposed to be the opposite side length of angle A

OpenStudy (jdoe0001):

of "this unit"?

OpenStudy (kkbrookly):

It's the current unit that my class is learning about. Vectors, triangles, etc.

OpenStudy (xapproachesinfinity):

law of cosine that is

OpenStudy (xapproachesinfinity):

it is related to vectors

OpenStudy (jdoe0001):

well.. as xapproachesinfinity said, I can see the law of cosines there, for one so... assuming you've covered it, if not, you may want to peruse it some first

OpenStudy (kkbrookly):

So the formula I would use is c=sqrt a^2+b^2-2ac cos(theta), right?

OpenStudy (jdoe0001):

\(\bf \textit{Law of Cosines}\\ \quad \\ a^2 = {\color{blue}{ c}}^2+{\color{red}{ b}}^2-(2{\color{blue}{ c}}{\color{red}{ b}})cos(A)\implies a = \sqrt{{\color{blue}{ c}}^2+{\color{red}{ b}}^2-(2{\color{blue}{ c}}{\color{red}{ b}})cos(A)}\)

OpenStudy (kkbrookly):

Okay, I'm working it out now

OpenStudy (kkbrookly):

I got 387.817. Am I supposed to do the left side of the equation or are they the same?

OpenStudy (jdoe0001):

nope, the left side is just the side "a" now.... if c = 11 and b = 13 and a = 387 let us think on that one if "c" and "b" stretch as long as they could, say like a flat line the longest they could muster is 11 + 13 so.... that is all "a" can aspire to though... so 387... is kinda off the range

OpenStudy (jdoe0001):

|dw:1431384896497:dw|

OpenStudy (kkbrookly):

So all I had to do was add side b and c or my answer is supposed to be close to 24?

OpenStudy (jdoe0001):

\(\bf a = \sqrt{{\color{blue}{ 11}}^2+{\color{red}{ 13}}^2-(2\cdot {\color{blue}{ 11}}\cdot {\color{red}{ 13}})cos(110^o)}\) \|dw:1431385425613:dw|

OpenStudy (jdoe0001):

notice, the 110 is in degrees, so make sure your calculator is in Degree mode when getting the cosine

OpenStudy (kkbrookly):

Ohh okay I did that before but I didn't get the sqrt of the whole thing. I got 19.693

OpenStudy (kkbrookly):

Is that correct?

OpenStudy (kkbrookly):

@jdoe0001

OpenStudy (jdoe0001):

ohh yes it's is 19.693

OpenStudy (jdoe0001):

site was a bit lagged

OpenStudy (kkbrookly):

So that's the final answer?

OpenStudy (kkbrookly):

Thank you!

OpenStudy (jdoe0001):

yw

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