What is the angle needed to solve for the shopping cart problem?

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In summary, the conversation involves finding the angle x in a shopping cart problem involving a ramp with unknown angle. The equations 0.17 = 0.1 cos x and 0.1 cos x = sin x are used to solve for x, but there may be an issue if the x values from both equations do not match. It is important to remember that x is undefined when the absolute value of cos x is greater than 1.
  • #1
ultimate70192
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alright this question involved a shopping cart up a ramp with an unknown angle and i have all the other variables but, cannot find the angle

.17 = .1cosx = sinx i need angle x, simple trig i believe but, i can't do it
 
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  • #2
Based on 0.17 = 0.1 cos x,

the x = cos-1 1.7

Based on 0.1 cos x = sin x,

x = tan-1 0.1


If one has developed the correct relationships, the x from either equation should be the same. If not there is something wrong.
 
  • #3
Astronuc said:
Based on 0.17 = 0.1 cos x,
the x = cos-1 1.7
Just added to what Astronuc had said:
Since you have:
[tex]\forall x \in \mathbb{R}, \ \ \nexists x \ | \ \ \ |\cos x| > 1 [/tex]
So, what can you say about x?
Viet Dao,
 

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