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Geometry 11 Online
OpenStudy (anonymous):

Hey, Can you guys help me please? I don't understand how to do this! A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B and C, as shown below. What is the distance between the walls?

OpenStudy (anonymous):

OpenStudy (solomonzelman):

ok, looking at the triangle formed on the bottom left angle, can you tell me the ANGLE-MEASURES of that triangle ?

OpenStudy (solomonzelman):

if you don;t understand me, always re-ask, don't hesitate!

OpenStudy (anonymous):

um, would it be 45 and 90? o: sorry if I sound dumb >.<

OpenStudy (solomonzelman):

yes. 45 and 90. can you find the remaining angle?

OpenStudy (anonymous):

I don't know how D:

OpenStudy (anonymous):

and yay!

OpenStudy (solomonzelman):

you can or should I?

OpenStudy (anonymous):

Can you, please? :) How do you get the third angle?

OpenStudy (anonymous):

WAIT

OpenStudy (anonymous):

Do you add them both and subtract from 180?

OpenStudy (solomonzelman):

There you go ! Yes!

OpenStudy (solomonzelman):

what is it ?

OpenStudy (anonymous):

okay, I got 45.

OpenStudy (solomonzelman):

Good !

OpenStudy (anonymous):

yaay! :D

OpenStudy (solomonzelman):

So, now, lets picture this triangle. |dw:1394670066095:dw|

OpenStudy (solomonzelman):

do you see why the side which is a question mark is equal to the side that's 30 ?

OpenStudy (anonymous):

Because both the angles are the same?

OpenStudy (solomonzelman):

Yes! Because thee angles are congruent.

OpenStudy (anonymous):

Okay, so now we know one side is 30, we need th eother one now :D judging by the looks of it, its a 30,60,90 triangle, right?

OpenStudy (solomonzelman):

before going ahead, I for see this, you need to know something. lets take a triangle that has angle measures of 30, 60, 90. |dw:1394670253775:dw|

OpenStudy (solomonzelman):

the proportions always are |dw:1394670314182:dw| so if the small side is (for example) 2 then,

OpenStudy (solomonzelman):

|dw:1394670408038:dw|

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