math question

[tkgibbs27]

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who knows the answer to this question. and how did you guys do it.

 

EDIT: i have been trying to figure it out for the past hour. maybe an hour and a half. i've looked at the forumlas and still can't figure it out.

[mvusse]

The tangent of angle z is 12/22.

 

The left hand angle of y is the same as z

 

Therefore the tangent of left hand of y is 12/22

 

this means that xw/12=12/22

=>xw=12x12/22

=>xw=6.55

 

I've been called a nerd many times in the past, but being good at math finally paid off!

(And that's 20 years after high school...)

 

EDIT: what does this have to do with Comanches?

[tkgibbs27]

it has nothing to do with comanches. that's why it's in the pub. anything goes here in the pub. it's just a problem i stumbled upon and tried figuring it out, but couldn't.

[mjeff87]

or you can go low tech, and use the fact that the altitude of a right triangle drawn to the hypotenuse divides the hypotenuse into two parts, with the relationship x^2=ab. x= the altitude, and a and b are the segments the hypotenuse is divided into. Since the altitude, x, = 12 solve for a, as in 12^2=a(22).

 

As a check, then, you can use Pythagorean theorem by determining YZ length, YW^2 + WZ^2=YZ^2, to calculate YZ as 25.059....then reapply theorem to XYZ, to determine XY.....YX^2 + XY^2=XZ^2. YZ=25.059, XZ=(6.54+22), and using that makes XY=13.655. Thus, the smaller right triangle XYW checks with XY=13.655, YW=12 (given), and confirms XW=6.55

 

Give or take a few Bud Lights, of course :D

 

Jeff

[86FUBAR]

or you can go low tech, and use the fact that the altitude of a right triangle drawn to the hypotenuse divides the hypotenuse into two parts, with the relationship x^2=ab. x= the altitude, and a and b are the segments the hypotenuse is divided into. Since the altitude, x, = 12 solve for a, as in 12^2=a(22).

 

As a check, then, you can use Pythagorean theorem by determining YZ length, YW^2 + WZ^2=YZ^2, to calculate YZ as 25.059....then reapply theorem to XYZ, to determine XY.....YX^2 + XY^2=XZ^2. YZ=25.059, XZ=(6.54+22), and using that makes XY=13.655. Thus, the smaller right triangle XYW checks with XY=13.655, YW=12 (given), and confirms XW=6.55

 

Give or take a few Bud Lights, of course :D

 

Jeff

 

:huh???: :hmm: sorry i turn wrenches not numbers

[JeepcoMJ]

I would say "durka durka" cause that's what I just read, 'cept that over there the only equations they can do are body mass index and kilo-per-explosion ratios....

[Eagle]

They are both right triangles, so it becomes a direct proportion. You lads are making it too complicated.

 

12/22 = W/12

 

22W = 12 x 12 = 144

 

W = 144/22 = 6.55

[gixxerman600]

i got 6.54?

[tkgibbs27]

well it has to be rounded. it came out to 6.545... rounding it would make it 6.55