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#1 2014-02-20 00:40:46

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
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Applied Trigonometry

A ladder set against a wall makes an angle θ with the horizontal, when its foot is pulled away from the wall through a distance p, it slides a distance q down the wall making an angle ϕ with the horizontal.

Prove that


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
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#2 2014-02-20 01:16:39

Bob
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Registered: 2010-06-20
Posts: 10,053

Re: Applied Trigonometry

hi Agnishom,

Let the length of the ladder be L.

Then the distances of the ladder from the wall and up the wall, before the move, are Lcos(theta) and Lsin(theta)

Similar expressions after the move with the new angle.

Then subtract to get p and q and divide to eliminate L

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2014-02-20 01:26:16

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
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Re: Applied Trigonometry

Hmm, I will try that and post back soon


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#4 2014-02-20 01:37:33

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Applied Trigonometry

Awesome, thanks smile


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

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