#1

I can't figure out this one math problem I've got in programming

http://www.sce.carleton.ca/courses/ecor-1606/w09/CourseMaterials/1606w09a2.pdf

there's the link to the problem

Basically I need to find the length x knowing only one length of a triangle and an angle. I need to be able to calculate x in terms of only W, theta and D. Give it a read over and help please

edit: see diagrams 1 and 2 for explanation on W, D and theta

http://www.sce.carleton.ca/courses/ecor-1606/w09/CourseMaterials/1606w09a2.pdf

there's the link to the problem

Basically I need to find the length x knowing only one length of a triangle and an angle. I need to be able to calculate x in terms of only W, theta and D. Give it a read over and help please

edit: see diagrams 1 and 2 for explanation on W, D and theta

#2

right here's a start point - take me a while though

name the longest submerged side (which is not W obv.) L

you can then use some simple geometry to show cosO=X/L

you can also use the constant volume to work out the volume underwater as a function of just L and O and set that equal to to DW

DW = LW-(W

=> D= L - W(1+Tan^2 O)

now see where you are?

name the longest submerged side (which is not W obv.) L

you can then use some simple geometry to show cosO=X/L

you can also use the constant volume to work out the volume underwater as a function of just L and O and set that equal to to DW

DW = LW-(W

*^2*(1+tan*^2*(O))=> D= L - W(1+Tan^2 O)

now see where you are?

*Last edited by doive at Jan 27, 2009,*

#3

The answer is 6.

No matter what you do/say, it is 6.

No matter what you do/say, it is 6.

#4

what he said lol

#5

6 Ftw

#6

You need this

#7

haha - i was closer than i realised

form that simple rearrangement to give

x= (D+W(1+tan^2(O))) cosO

OR

x = D CosO +W/CosO

reality check

- units ok

- increase W => increase X

- Increase D => increase x

- increase O => increase in x (since w/cos -> infinity)

form that simple rearrangement to give

x= (D+W(1+tan^2(O))) cosO

OR

x = D CosO +W/CosO

reality check

- units ok

- increase W => increase X

- Increase D => increase x

- increase O => increase in x (since w/cos -> infinity)

#8

the ONLY math thread?

#9

realise i got my maths wrong anyway - for 1+tan^2 0 should read tanO / 2