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#1 2006-11-13 23:52:22

Toast
Real Member
Registered: 2006-10-08
Posts: 1,321

Oh noes not another geometry problem

Hi can you check my working and help with the question,

Paul wants to make a 2 step staircase out of wood and gravel. He has two planks of wood that are 4 m and 1 m long. A wall of length 2.5 m runs along each side.
The steps PS and QR are parallel and the middle step TU is parallel to the others. To help plan construction, Paul considers a line from V to Q, passing through W and perpendicular to PS.
Let VW = x metres.

*The first diagram is the one given and the second is one I have created with extra lengths etc. I am not sure if the second diagram is correct

a) Prove that PQV ~ TQW

AA

b) Find an expression in terms of x for:

i) WQ
I got


ii) TW





c) Show that

This is where I got stumped, I don't know what to do here...


There are more but I lack the information to tackle them as yet...

Last edited by Toast (2006-11-13 23:53:10)

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#2 2006-11-14 02:38:57

George,Y
Member
Registered: 2006-03-12
Posts: 1,379

Re: Oh noes not another geometry problem

First, I would suggest you to solve x out using the identity VQ=VW+WQ
Then, you can draw RB vertical to TU and PS with intersection A and B. I think you can work it out now.

Last edited by George,Y (2006-11-14 02:41:34)


X'(y-Xβ)=0

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#3 2006-11-15 03:32:07

Toast
Real Member
Registered: 2006-10-08
Posts: 1,321

Re: Oh noes not another geometry problem

Thanks... but I'm not quite sure what you're talking about... Where is B from RB? and what do you mean by 'vertical to' and where is A and B? hmm

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#4 2006-11-15 15:05:58

George,Y
Member
Registered: 2006-03-12
Posts: 1,379

Re: Oh noes not another geometry problem

Forget about that. Just draw a line starting from R and parallel to QV, then just name the intersections whatever you like.


X'(y-Xβ)=0

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#5 2006-11-15 17:58:32

Toast
Real Member
Registered: 2006-10-08
Posts: 1,321

Re: Oh noes not another geometry problem

Oh I see,
that would make TU =



and then:


YAAAAAAAAY THANKS!!!:D

Last edited by Toast (2006-11-15 18:00:05)

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