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Mathematics 20 Online
OpenStudy (znappydooz):

Can someone help me with some Geometry questions?

OpenStudy (znappydooz):

@sleepyjess

OpenStudy (sleepyjess):

I'm not sure about the last part, but I know I can help with finding sin(x) and cos(y)

OpenStudy (sleepyjess):

Okay :) Do you know SOH-CAH-TOA?

OpenStudy (znappydooz):

Yes, SOH = Sin(x) = opposite/hypotenuse CAH = cos(x) = adjacent/hypotenuse TAO = tan(x) = adjacent/opposite

OpenStudy (sleepyjess):

Yep, so let's do sin(x) first, from angle x point of view: |dw:1430240723254:dw|

OpenStudy (znappydooz):

But we don't have the hypotenuse

OpenStudy (sleepyjess):

Yep, so how do we find the hypotenuse?

OpenStudy (znappydooz):

Do we use tan?

OpenStudy (sleepyjess):

Pythagorean Theorem :)

OpenStudy (znappydooz):

Oh... I;m still a bit confused :P

OpenStudy (znappydooz):

I kno how it is, but how do we apply it?

OpenStudy (sleepyjess):

Whoops, sorry, I didn't get a notification that you responded We have a and b to use

OpenStudy (znappydooz):

Its all good :) I dont remember how to do the rest :P

OpenStudy (sleepyjess):

\(8^2 + 6^2 = c^2\)

OpenStudy (znappydooz):

Oh, okeee... That would equal to 100

OpenStudy (znappydooz):

10^2

OpenStudy (sleepyjess):

Yep, now \(\sqrt{100}\) = ?

OpenStudy (sleepyjess):

10, yep haha

OpenStudy (anonymous):

@sleepyjess The last part, X and Y are related because the must add up to 90 because each triangle angles add up to 180 and there is a right angle. 180-90=90. So X+Y=90

OpenStudy (sleepyjess):

Yes, so we know that the hypotenuse is 10

OpenStudy (sleepyjess):

ah, thanks @Phil1111 :)

OpenStudy (znappydooz):

And now we have to find sin?

OpenStudy (sleepyjess):

Yep, now we find sin(x)

OpenStudy (znappydooz):

Alright, so, 6/10 = 0.6 Would that be the answer for sine?

OpenStudy (znappydooz):

Or am I missing something?

OpenStudy (sleepyjess):

That's correct :)

OpenStudy (sleepyjess):

Now cos(y) from y point of view: http://prntscr.com/6z8a98

OpenStudy (znappydooz):

So, that would also equal to 0.6

OpenStudy (sleepyjess):

yep :)

OpenStudy (znappydooz):

Alright, this is what I have...

OpenStudy (znappydooz):

First, we have to find the hypotenuse by using the Pythagorean theorem. 8^2 + 6^2 = c^2 64 + 36 = 100 √100 = 10^2 The length of the hypotenuse is 10 Next, we have to find SOH. sin(x) = 6/10 sin(0.6) The Sine here is 0.6. Lastly, we have to find CAH. cos(x) = 6/10 cos(0.6) This means that the cosine also equals to 0.6. Does it sound good?

OpenStudy (sleepyjess):

That is awesome :)

OpenStudy (znappydooz):

Yay! Now, for the last part of the question..?

OpenStudy (sleepyjess):

Phil explained that one @sleepyjess The last part, X and Y are related because the must add up to 90 because each triangle angles add up to 180 and there is a right angle. 180-90=90. So X+Y=90

OpenStudy (znappydooz):

Alright, thnx so much!!!

OpenStudy (znappydooz):

Do you think you could help me in a couple more tho?

OpenStudy (znappydooz):

I have 2 more :P

OpenStudy (znappydooz):

As you were helping me with this one, I did the other 4 :P XD

OpenStudy (sleepyjess):

I actually have to go get ready for gymnastics, but maybe @welshfella can help :)

OpenStudy (znappydooz):

Well, could you @welshfella? :P

OpenStudy (welshfella):

ok

OpenStudy (znappydooz):

Alright, thnx so much!

OpenStudy (znappydooz):

I'll tag u, give me a sec

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