Vanity! Anyone here have good working trigonometry function skills?

August 2, 2011 | me

[poindexters brother]

using tan(x) = pop / adj hyp^2 = s1^2 + s2^2 s1 = 342.21 s2 = 104.625 hyp = 343.7

Sigh... Ignore that answer... Got my diagrams fouled up.

[Sacajaweau]

Whoops...read it wrong...

[Tanniker Smith]

104.625 is vertical from the base of the triangle, with the 17 degree angle at the top of the 104.625 side

so then x = 104.625/cos(17)

Make sure your calculator is in "Degrees" mode and not "Radians" mode or everything will go crazy fast.

[Blood of Tyrants]

Your numbers are wrong. All triangles have a total of 180 degrees on the internal angle. No more, no less.

[editor-surveyor]

The numbers you offer are ambiguous.

There are two solutions unless you identify specifically which angle is opposite the given side.

[Sacajaweau]

Draw the picture...base is longer or height (104.625) is longer?? We need the position of the angles.

[WellyP]

I know just how you feel! 10th grade Geometry construction has saved my butt so many times!

[Tanniker Smith]

One of the three numbers is a length.
The right triangle's angles are 17-73-90.

[Turbopilot]

sin(73*)=104.625/x
0.956=104.625/x
0.956x=104.625
x=109.406

Incidentally, the third side is length 31.987, the proof of which is left as an exercise for the reader.

[Sacajaweau]

Draw the picture...base is longer or height (104.625) is longer?? We need the position of the angles.

[jsh3180]

Thanks, EEGator, I believe that is correct. I knew the short leg of the 90 degree side was going to be somewhere between 24 and 36.
Reason for my question,in case you want to know, I’m building a custom stair/ladder that is pretty steep. Not much material to experiment with and I want to be right on when I cut.

Thanks!!!

[Tanniker Smith]

You don’t need that. It’s a right triangle.

[loungitude]

Your problem state that a line intersects an angle. How is this possible?

[1066AD]

Agreed.

[EEGator]

You’re welcome. Measure twice, cut once.

[Blood of Tyrants]

Oops. Sorry.

Sine(x) = length opposite/length hypotenuse
Cosine(x)= length adjacent/ length hypotenuse
Tan(x) = Length opposite/ length adjacent

From these three you can calculate all the other sides and angles.

[DuncanWaring]

I do believe you’re correct on that one, on reconsideration.

[ThomasThomas]

It was a long story but the answer is The Squaw On The Hippopotamus Is Equal To The Sum Of The Squaws On The Other Two Hides.

[1066AD]

the proof of which is left as an exercise for the reader.

Brings back memories !!

[bytesmith]

The numbers you offer are ambiguous.

There are two solutions unless you identify specifically which angle is opposite the given side.

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Depending on the relation of the given angles to the side given, the possible values of the hypotenuse are 109.406 and 357.851. (I think) BSEE ‘64