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Mathematics 14 Online
OpenStudy (♪chibiterasu):

There is no war in Ba Sing Se.

OpenStudy (♪chibiterasu):

Part 1: Prove the triangles are similar. Part 2: Determine the height of the house.

OpenStudy (anonymous):

The triangles are similar by AA similarity

OpenStudy (anonymous):

\[\frac{ 20 }{ 5 } = \frac{ x }{ 4 }\] so then cross mulitply

OpenStudy (aravindg):

Do you notice that both the triangles are right angled?

OpenStudy (anonymous):

2 angles of one triangle are congruent to 2 angles of the second triangle.

OpenStudy (nerdgamer_):

Correct they are Right angled.

OpenStudy (♪chibiterasu):

Yes o:

OpenStudy (♪chibiterasu):

So would that be Corresponding Angles I guess?

OpenStudy (nerdgamer_):

Thats kinda a hint if you want it to be. :)

OpenStudy (anonymous):

once u cross multiply u get 5x = 80, then solve it to the height

OpenStudy (nerdgamer_):

They are perpendicular. so whats the distance?

OpenStudy (nerdgamer_):

Wait I think I read It wrong sorry.

OpenStudy (nerdgamer_):

Maybe not. :/

OpenStudy (♪chibiterasu):

So I'll just name the triangle ABC and the right one DEF. So I have: ∠C = E Given ∠A = F Corresponding Angles Theorem ΔABC = Δ DEF AA Postulate Is this good so far?

OpenStudy (♪chibiterasu):

C and E being the connected angles and A and F being the right angles.

OpenStudy (nerdgamer_):

She walked 20 feet set the mirror down than backed up 5 feet to see the tip of the house right. find the distants frrom house to mirror than find the distants from house to Sarah.

OpenStudy (nerdgamer_):

right

OpenStudy (nerdgamer_):

so far thats great.

OpenStudy (nerdgamer_):

Is this yor first time doing this type of question?

OpenStudy (anonymous):

yes, then what is the equation?

OpenStudy (nerdgamer_):

She is looking down at the mirror and its reflecting up at the top of the house. put the pieces togather that a gave you ok.

OpenStudy (nerdgamer_):

I gave you enough info to figure it out on your own if you can ok

OpenStudy (nerdgamer_):

Tell me if you got it ok i hope i helped even if it was confusing.

OpenStudy (♪chibiterasu):

OS just died on me .-.

OpenStudy (stormswan):

is the height 16 feet?

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