Find Beta of <60,-50,40>: Solving the Equation

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SUMMARY

The discussion centers on calculating the angle β using the equation Cosine β = Ay/lAl, where lAl is determined to be 87.74964387. The calculated angle is arccos(-50/87.75), yielding 124.62 degrees. The main issue arises from the confusion over expressing this angle to two significant figures, with participants clarifying that 124.62 rounds to 120 degrees, not 125 degrees, which is three significant figures.

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Homework Statement



Find Beta of <60,-50,40>

Homework Equations



Cosine β = Ay/lAl


The Attempt at a Solution



lAl = 87.74964387

So its arccos(-50/87.75) = 124.62

express to 2 significant figures and it keeps telling me I am wrong. I rounded to 125. kept at 124.62.. etc.
 

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And i got the answer book telling me this
 

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The book answers are clearly expressed to three significant figures. What is your correct response for the angle you determined expressed to two significant figures?
 
Online it tells me to do 2 sig figs.
 
PhanthomJay said:
The book answers are clearly expressed to three significant figures. What is your correct response for the angle you determined expressed to two significant figures?
And it's 125 degrees
 
xtrubambinoxpr said:
And it's 125 degrees
No, that is three significant figures. What is 124.62 degrees expressed to two significant figures??
 
PhanthomJay said:
No, that is three significant figures. What is 124.62 degrees expressed to two significant figures??
I honestly don't know because it clearly has 3 at 125
How would I make that 2 sig figs
 
xtrubambinoxpr said:
I honestly don't know because it clearly has 3 at 125
How would I make that 2 sig figs
I am not an expert on significant figure rules, but you can find them through Google and other search engines. But here is a hint: 141.635 rounded to four sig figs is 141.6. If rounded to three sig figs it is 142; that same number rounded to two sig figs is 140. And that same number rounded to one sig fig is 100.
 

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