Question

Help with my study guide? I don't understand this. Will fan and give medal!

Answer 1

hmm same I don't get this one sorry :[

Answer 2

Hmmm, still doing this?

Answer 3

Yep! @wio

Answer 4

Consider the length of \(SV\).

Answer 5

We can say \(SW = 4\times SV\).

Answer 6

Does that make sense to you?

Answer 7

Yeah

Answer 8

SW is only 1/4 of the triangle side

Answer 9

wait I got that backwards

Answer 10

Well \(\triangle SVR\) and \(\triangle SWN\) are related to eachother

Answer 11

SV is 1/4 of SW

Answer 12

Uhhh, what?

Answer 13

Do you know about similar triangles?

Answer 14

Not really, no;;

Answer 15

The sides of a similar triangles are proportional

Answer 16

Which means that \[
\frac{VR}{SV}=\frac{WN}{SW}
\]

Answer 17

And we get to say that \[
\frac{VR}{SV}=\frac{WN}{4SV}
\]Because \(SW=4SV\)

Answer 18

And finally we can say\[
\frac{VR}{SV}=\frac{26~\text{ft}}{4SV}
\]Because \(NW=26~\text{ft}\)

Answer 19

Does it make sense?

Answer 20

Yes

Answer 21

Can you find \(VR\) now?

Answer 22

6.5?

Answer 23

6.5 of what?

Answer 24

ft?

Answer 25

yes

Answer 26

Ah! ok

Answer 27

I think I can get the other ones, for UQ it would just be 26 divided by 3? @wio

Answer 28

Where did you get 3?

Answer 29

Oh wait--

Answer 30

I dunno, I got myself confused

Answer 31

Okay... what is the relationship between SU and SW?

Answer 32

on the same side of the triangle;;

Answer 33

No, I mean we know \(SW=4SV\), but what about \(SU=?SV\) or \(SU=?SW\) ? What are the values?

Answer 34

SU = 3SV ?

Answer 35

No, where did you get 3? \(SV=VU\). \(SU = SV+VU=\ldots\)

Answer 36

is it 13? ;;

Answer 37

You are correct, somehow

Answer 38

I added 6.5+6.5 ?

Answer 39

You are suppose to use: \[
SU = SV+UV = SV+SV = 2SV
\]Then: \[
\frac{UQ}{SU} = \frac{WN}{SW}
\]Will become: \[

\frac{UQ}{2SV} = \frac{26~\text{ft}}{4SV}
\]

Answer 40

OHH I was looking at this wrong

Answer 41

But I was right, UQ=13?

Answer 42

Not if you mean 13 inch

Answer 43

I mean 13 ft, sorry

Answer 44

That is correct

Answer 45

I'm gonna guess here and say \[TP = 19.5\]

Answer 46

Yeah but, guessing is bad

Answer 47

I know ;~; but it was a logical guess so not as bad?

Answer 48

It wasn't a logical guess, it was a intuitive guess

Answer 49

Logic and Intuition are like Yang and Yin

Answer 50

The correct way is to realize \(ST=3SV\), and so: \[
\frac{TP}{3SV}=\frac{26~\text{ft}}{4SV}
\]