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Old 12-16-2010, 06:57 AM   #1 (permalink)
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Default Calling all Mathmeticians..Need some help with angles

Can anyone confirm this? I'm trying to find the angles of stairs for my drop in. It's 10 feet tall, with 12 ladder stairs. It's been awhile since i've had to use geometry.

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Old 12-16-2010, 07:14 AM   #2 (permalink)
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a theory for all triangles is that they will equal 180 degrees with all 3 angles
so im guess its angles will be
33
47
90

or

90
35
45
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Old 12-16-2010, 07:28 AM   #3 (permalink)
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33+47+90=170
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Old 12-16-2010, 07:35 AM   #4 (permalink)
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Quote:
Originally Posted by alecdude88 View Post
a theory for all triangles is that they will equal 180 degrees with all 3 angles
so im guess its angles will be
33
47
90

or

90
35
45
recheck math...35+45 is only 80 so his original angles adhere to the theory ut's all 180.

I assume that you want the angles from predetermined/built lengths. So, using cos then taking the bottom right angle first, cos(x) = adjacent/hypotenuse -> cos(x) = 6.6/12 -> using inverse cosine, the bottom angle should be 56.63 degrees.

Then, taking the top left angle, using cos(x) = adj/hypotenuse -> cos(x) = 10/12 -> inverse cosine, the top angle is 33,56 degrees,

33.56+56.53 = 90.09, so the angles match with the lengths

Last edited by rainboarding; 12-16-2010 at 07:42 AM. Reason: effed my math up. oops.
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Old 12-16-2010, 07:43 AM   #5 (permalink)
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A quick application of pythagoras says that the sides at 10, 6.6 and 12 are almost exactly correct. I don't have a calc with trig functions in front of me, so I can't confirm the actual angles.
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Old 12-16-2010, 08:15 AM   #6 (permalink)
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Right Triangle Angle And Side Calculator
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Old 12-16-2010, 08:16 AM   #7 (permalink)
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Recall from trigonometry (not geometry) the mnemonic "SOH CAH TOA."

sin theta = opposite/hypotenuse
sin theta = 10/12
sin theta = 0.83

calculator.com - Online Scientific Calculator

Checks out.
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Old 12-16-2010, 08:37 AM   #8 (permalink)
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I got for your angles to be 56.4 and 33.6. So close enough Should be fun though
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Old 12-16-2010, 10:27 AM   #9 (permalink)
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Haha thanks guys I didn't want to start cutting before checking
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Old 12-16-2010, 04:07 PM   #10 (permalink)
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Mathematically that would work out but practically I think you would want 90+45+45 so you have a better down ramp also if you increase your drop angle the length on the bottom must increase hopefully that made sense and for your third side the Pythagorean theorem A^2+b^2=c^2 should help
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