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Mathematics 23 Online
OpenStudy (anonymous):

See attachment

OpenStudy (anonymous):

OpenStudy (anonymous):

@AriPotta

OpenStudy (anonymous):

I think its just 2 parts to 1 question

OpenStudy (aripotta):

how are you supposed to find the height of the child. i'm so confused

OpenStudy (anonymous):

uhm.... lets c

OpenStudy (anonymous):

hmmmm

OpenStudy (aripotta):

i think you need to get someone else to help you here. i'm sorry

OpenStudy (anonymous):

Its quite okay, you've helped a lot.

OpenStudy (anonymous):

and for that i thank u

OpenStudy (aripotta):

break a leg, rachel

OpenStudy (anonymous):

the triangles for tree and flag pole are simikar to each other thus there corresponding sides are proportional

OpenStudy (anonymous):

ok, could u show that by setting a proportion uP?

OpenStudy (anonymous):

84/119=height of pole / 51

OpenStudy (anonymous):

tnx u. height being 'x?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

thanks.

OpenStudy (anonymous):

I'll set it up that way

OpenStudy (anonymous):

also it is mention in the question that the height of shadow for child is 7 ... thus u can setup another triangle which is similar to emaining two

OpenStudy (anonymous):

I got 36?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

So the height of the child is 36 ft?

OpenStudy (anonymous):

height of flagpole is 36

OpenStudy (anonymous):

oh.

OpenStudy (anonymous):

Raja?

OpenStudy (anonymous):

Could u explain it in words?

OpenStudy (anonymous):

Thanks

OpenStudy (anonymous):

I believe i will comprehend better that way

OpenStudy (anonymous):

Hmm,

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

let me look at ur attachment again

OpenStudy (anonymous):

thanks.

OpenStudy (anonymous):

luis

OpenStudy (anonymous):

i got 36 as the height of the flag pole

OpenStudy (anonymous):

so, what does the 36 have tho do with the childs height

OpenStudy (anonymous):

and how'd u get 12

OpenStudy (anonymous):

Id just like a clearer explanation

OpenStudy (anonymous):

mk lets c

OpenStudy (anonymous):

I am sorry, I don't get it.

OpenStudy (anonymous):

Do you get it, raja?

OpenStudy (anonymous):

do you understand how he got \[\frac{x}{51}=\frac{84}{119}\]?

OpenStudy (anonymous):

no.

OpenStudy (anonymous):

he did not really explain, so I therefore did not actually understand.

OpenStudy (anonymous):

o yea

OpenStudy (anonymous):

i think i do

OpenStudy (anonymous):

ur trying to find the height of the flagpole there

OpenStudy (anonymous):

which i think was 36?

OpenStudy (anonymous):

the thing about similar triangles is that they are equivalent. I mean, you get one of them but zooming into the other triangle. In this case, you can imagine the triangle with the tree as a zoomed in version of the triangle with the pole. So, the sides are proportionally larger than the sides of the smaller triangle. So you're essentially asking "If 119ft was 84 ft before i zoomed in, what should 51 ft have been?"

OpenStudy (anonymous):

hm...

OpenStudy (anonymous):

so, 84/119=51/x?

OpenStudy (anonymous):

it's the other way around. You see, x is smaller than 51. You know that. So, on the left hand side, the bigger number goes on top.

OpenStudy (anonymous):

Oh,okay.

OpenStudy (anonymous):

But, is the height of the pole 36?

OpenStudy (anonymous):

yes it is.

OpenStudy (anonymous):

Okay.

OpenStudy (anonymous):

Let me think

OpenStudy (anonymous):

Sure. Take your time.

OpenStudy (anonymous):

Thanks :D

OpenStudy (anonymous):

Hmmmm..

OpenStudy (anonymous):

Ok. so ur saying that it should 84/119 = x/51,yes?

OpenStudy (anonymous):

exactly. You see how the smaller numbers are on top and the bigger ones are at the bottom?

OpenStudy (anonymous):

Yes, sir. And I believe x is 36, according to the Calculator on Google.com.

OpenStudy (anonymous):

haha good.

OpenStudy (anonymous):

Great. But, the height of the child cannot be 36.

OpenStudy (anonymous):

At least, I do not think so.

OpenStudy (anonymous):

Now, I can see Luis_Rivera got 12 for some reason.

OpenStudy (anonymous):

yeah. the triangle with the kid is to be taken separately. You can compare that triangle with the one with the pole or the one with the tree. If you compare it with the tree, you get \[\frac{7}{119}=\frac{\text{height of the kid}}{51}\] do you see how i got that?

OpenStudy (anonymous):

hmmm.

OpenStudy (anonymous):

What did we say the pole was? 36?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

okay. lets just do it with the tree.

OpenStudy (anonymous):

o yea, 7/119 because they are both bases,yes?

OpenStudy (anonymous):

and 51 and the height bcuz they are both tall sides.

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

Oooooo! Ok, let me solve!

OpenStudy (anonymous):

One moment plz!

OpenStudy (anonymous):

7/84=height/51? could u do that with the pole?

OpenStudy (anonymous):

51 is the height of the tree, not the pole.

OpenStudy (anonymous):

o sorry. x/36

OpenStudy (anonymous):

Yeah :)

OpenStudy (anonymous):

great. i think I'm actually getting this! Can you believe it?

OpenStudy (anonymous):

Anyhow, let me solve with the tree.

OpenStudy (anonymous):

Haha great :D Keep it up!

OpenStudy (anonymous):

:D Thanks! Omg what if you had been offline?!

OpenStudy (anonymous):

Okay. According to Google, 51*7/119 equals 3.

OpenStudy (anonymous):

therefore making the child 3 feet tall?

OpenStudy (anonymous):

Yyyyyup

OpenStudy (anonymous):

Woah. I got the answer?!

OpenStudy (anonymous):

yyyyup :)

OpenStudy (anonymous):

One second though.

OpenStudy (anonymous):

THERE we go!

OpenStudy (anonymous):

Thanks!

OpenStudy (anonymous):

lol thanks

OpenStudy (anonymous):

YW!

OpenStudy (anonymous):

and you're welcome.

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

WAIT

OpenStudy (anonymous):

Sorry, I forgot; it says to round to the nearest whole cm.

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