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  #31  
Old 11-12-2010, 12:29 PM
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Quote:
Originally Posted by Eskimo View Post
Along the same lines, my high school math teacher gave us SOH CAH TOA, which still sticks with me today. Say them out loud as words: so kah toe-ah.

Sine = Opposite side divided by the Hypotenuse.
Cosine = Adjacent side divided by the Hypotenuse.
Tangent = Opposite side divided by the Adjacent side
SOH CAH TOA!!!!!! I will never forget that

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  #32  
Old 11-12-2010, 01:11 PM
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Originally Posted by kerry View Post
It depends on whether we're talking about distance thru the air, or distance on the water with the boat ending up below the observer.
I agree that the question could be more explicit on that point, but I think that the most reasonable interpretation is that it seeks the distance from the observer to the boat.

This is neither here nor there, but that point reminds me of a really good Yogi Berra quote. Someone asked Yogi what time it was. He said, "You mean now?"

Last edited by Honus; 11-12-2010 at 01:50 PM.
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  #33  
Old 11-12-2010, 02:50 PM
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OK math geeks, up next is a detailed discussion of Newton's method for solving complex polynomials and numerous linear algebra problems of about 20 variables.

Trust me, you're going to need this in life.


If you're a rocket scientist or economist.

My high water mark in both math and computer programming was a Paschal program I wrote to perform Newton's method on complex polynomials up to x to the power of 10. It was fun.
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  #34  
Old 11-12-2010, 03:01 PM
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prime us first.

I get the math... but the concept and how it came to be still shakes me a little.
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  #35  
Old 11-12-2010, 04:19 PM
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Originally Posted by Honus View Post
Sorry to come to this discussion so late, but I am confused.

Do we agree that the distance from the observer to the boat is the hypotenuse?

And that the calculation goes as follows:

distance = 300/sin(15.9) = 1095' ?

Is that correct?
So I would take 300/(.2756)(15.9)

That actually was the original question.
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  #36  
Old 11-12-2010, 04:23 PM
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Originally Posted by buffa98 View Post
So I would take 300/(.2756)(15.9)

That actually was the original question.
I just plugged that into a calculator and did not get that answer. I understand the concept but can not figure out how to do it long hand.

If I did not score high enough on the math portion I can retake it but I will need to know the steps of the calculation..

Algbra not an issue trig for me always an issue.
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  #37  
Old 11-12-2010, 04:28 PM
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you are using the sine function as a value - incorrect.

you 'take' the sine 'of' some angle or radian measure.---this gives you a numeric value.
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  #38  
Old 11-12-2010, 04:32 PM
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Originally Posted by jt20 View Post
you are using the sine function as a value - incorrect.

you 'take' the sine 'of' some angle or radian measure.---this gives you a numeric value.
Now you can see why i did it the other way . How do you take the sine? I am trying to get my head around what should be a simple calculation and am not getting it.
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  #39  
Old 11-12-2010, 04:35 PM
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Originally Posted by buffa98 View Post
Now you can see why i did it the other way . How do you take the sine? I am trying to get my head around what should be a simple calculation and am not getting it.
Never mind the light bulb just came on. I would use the .2756 as the denominator under 300 to solve for x.

Which is the S=O
H

Correct? I hope.......
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  #40  
Old 11-12-2010, 04:38 PM
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so use the chart to get the values for sin of some angle. In this case 16* is your closest approximation on a timed exam with multiple choice.
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  #41  
Old 11-12-2010, 04:39 PM
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Originally Posted by buffa98 View Post
Never mind the light bulb just came on. I would use the .2756 as the denominator under 300 to solve for x.

Which is the S=O
H

Correct? I hope.......

yeppers.

.2756 from the chart is the value for sine of 16*
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  #42  
Old 11-12-2010, 04:50 PM
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So another question that sticks in my mind uses the angle of the sun and the length of a shadow cast from a flag pole. seeing that I have the Hyp angle and length ,I would use the cos to find the short leg?

which in this case would be the height of the flagpole?
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  #43  
Old 11-12-2010, 04:52 PM
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Originally Posted by buffa98 View Post
Now you can see why i did it the other way . How do you take the sine? I am trying to get my head around what should be a simple calculation and am not getting it.

in order to find the value of a trig function by hand, you would need to expand a Taylor series. No way thats happening on a timed exam with any accuracy.

you either have a slide rule, the tables or remember a bunch of values.

and you convert degrees to radians, when needed.
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  #44  
Old 11-12-2010, 04:58 PM
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Originally Posted by buffa98 View Post
So another question that sticks in my mind uses the angle of the sun and the length of a shadow cast from a flag pole. seeing that I have the Hyp angle and length ,I would use the cos to find the short leg?

which in this case would be the height of the flagpole?


given: hyp = h ; theta= b

sin(b)=Opposite/h ==> sin(b) * h =opposite

I am assuming theta is the angle you're talking about. The sun is at the top right. "the short leg" is 'opposite'.

if the short leg is "adjacent"

cos(b) = adjacent/h ==> cos(b) * h = adjacent

Last edited by jt20; 11-12-2010 at 07:06 PM. Reason: can't think and type apparently
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  #45  
Old 11-12-2010, 05:08 PM
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Thank you all for the help.

Jt20 that picture will be filed. That is the piece of info I needed. I should not a have an issue if I need to take this thing over.

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