I'm stuck on this and don't know where to start. How do you do this step by step?

GAMEMASTERX40 Nov 12, 2019

#1**+1 **

Well, obviously, she shoud aim at point E..... haha jk

Distance D = (12+9+9) - 27 = 3

The two angles at E are equal (angle of incidence = angle of reflection, generally)

the large and the smaller triangle are similar triangles.....

Does all of that give ya a clue?

ElectricPavlov Nov 12, 2019

#2**+1 **

Ummm... I'm not quite sure. What I'm supposed to do from there? Maybe explain how to get where to aim at the wall?

GAMEMASTERX40
Nov 13, 2019

#3**+1 **

Similar triangles....

3 is to 12 as CE is to EB AND CE+ EB =20

3/12 = CE/EB

1/4 = CE/ EB Want me to finish it or can you try from here? Do you remember how to solve ratios?

ElectricPavlov Nov 13, 2019

#4**+1 **

Yeah, can you finish it from there? This is supposed to be the last question on my work. I do know about the ratios but similar tringles always get me. Thanks!

GAMEMASTERX40 Nov 13, 2019

#5**+1 **

I have reduced the similar triangles it to a simple ratio problem....you should be able to solve it:

1/4 = CE/EB and CE + EB = 20

so out of FIVE parts (1+4) CE is ONE of them and EB is FOUR of them

20 divided by 5 parts = 4 per part

so CE = 4 EB = 16 CE/EB = 4/16 = 1/4 DO you see how to do ratios nw?

ElectricPavlov
Nov 13, 2019

#6**+2 **

Note that angles EBA and ECD are equal right angles

And angle BEA = angle CED

So triangle EBA is similar to triangle ECD

So

BE / BA = CE / DC

BA = 12

Let EB = 20 - x

Let CE = x

DC = (12 + 9 + 9) - 27 = 3

So we have that

[20 - x] / 12 = x / 3 cross-multiply

3[20 - x] = 12x simplify

60 - 3x = 12x rearrange as

60 = 15x divide both sides by 15

x = 4

She should aim 4 ft to the right of "C"

EDIT TO CORRECT A PREVIOUS MISTAKE.....THANKS TO EP FOR CATCHING THIS !!!!

CPhill Nov 13, 2019

#7**+1 **

Thank you very much CPhill this is just what I needed to complete my work. Very understandable too and I saw your helpful correction to figure out the answer to the problem.

GAMEMASTERX40
Nov 14, 2019