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Mathematics 6 Online
OpenStudy (natasha18):

Find a

OpenStudy (mjdennis):

Haha, it is right there after the space!

OpenStudy (natasha18):

OpenStudy (natasha18):

haha XD

OpenStudy (natasha18):

i got 12/2 but im not sure if its right

OpenStudy (will.h):

explain your steps please

OpenStudy (natasha18):

i know its an improper fraction

OpenStudy (will.h):

how did you get 12/2

OpenStudy (natasha18):

just a guess ;lol

OpenStudy (natasha18):

i sent you a screen shot of the question

OpenStudy (phi):

do you know about 30-60-90 triangles. what is the length of "x" ?

OpenStudy (will.h):

phi is here, he will most def walk you through this, just use trigonometric functions , best of luck :)

OpenStudy (natasha18):

x 15/2

OpenStudy (phi):

yes. now notice x is the hypotenuse of the "small" triangle on the left notice a is opposite the 30 degree angle. what is a ?

OpenStudy (pawanyadav):

a tan60°= b tan30° do u get this equation?

OpenStudy (phi):

in other words, you have another 30-60-90 triangle with hypotenuse 15/2 (or 7.5)

OpenStudy (natasha18):

@Pawanyadav so that would be A*1.7321 equals b*.5774

OpenStudy (mjdennis):

2 parts to work with: (1) remember from 'our' last problem, you can make a relationship between similar sides. (2) in a 30-60-90 triangle, one of the sides is half the hypotenuse. Do those help?

OpenStudy (pawanyadav):

Don't convert them in decimal

OpenStudy (natasha18):

\[\cos60=\frac{ a }{ \frac{ 15 }{ 2} }\]

OpenStudy (natasha18):

would that be a correct way of solving it??

OpenStudy (pawanyadav):

Just keep them in under root As. a(√3)= b/(√3) means 3 a= b

OpenStudy (pawanyadav):

Now. use information given in question.. a+b=15 a+3a=15 4a=15 a=15/4

OpenStudy (mjdennis):

There are lots of ways for this one. I used the results of that other problem: a/x = x/(a+b), and x=(a+b)/2. I remember you saying you are working a section involving similar triangles, so I am trying to keep it in that context..

OpenStudy (natasha18):

can you help me find z??

OpenStudy (pawanyadav):

Z ?????

OpenStudy (natasha18):

in the diagram

OpenStudy (natasha18):

oh wait nvm i can find that using the pythagorean theorem

OpenStudy (pawanyadav):

Yes first u have to find y.

OpenStudy (natasha18):

how do i do that?

OpenStudy (pawanyadav):

tan60° =?

OpenStudy (natasha18):

wouldn't i use pythagoream theorem??

OpenStudy (natasha18):

bc i already know x and a

OpenStudy (pawanyadav):

What are u getting?

OpenStudy (natasha18):

well i know \[x^2=a^2 + y^2\]

OpenStudy (pawanyadav):

Do u know x.

OpenStudy (natasha18):

7.5

OpenStudy (pawanyadav):

If u know x , u can direct use x2 + z2=225

OpenStudy (natasha18):

z2 is 168.75

OpenStudy (will.h):

you guys still working on this? wow

OpenStudy (natasha18):

im not sure but the answer has to fit in the format below

OpenStudy (natasha18):

so it cant be in decimal form

OpenStudy (pawanyadav):

So it should be (15√3)/2

OpenStudy (natasha18):

well thats the answer i got for y... so whats y?

OpenStudy (pawanyadav):

Use a2+y2=x2

OpenStudy (pawanyadav):

Or y=a tan60°

OpenStudy (natasha18):

i got 13

OpenStudy (natasha18):

well 12.99

OpenStudy (pawanyadav):

It should be (15√3)/4

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