Does this make sense? Something hanging from an accelerating object

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The discussion revolves around calculating the angle a string makes with the vertical when a pair of fuzzy dice hangs from a rearview mirror during a car's acceleration. The car accelerates at 4.67 m/s² while the gravitational acceleration is 9.8 m/s². The angle is determined using the arctangent of the ratio of these two accelerations, resulting in approximately 25.43 degrees. Participants confirm that the calculation is straightforward, assuming correct arithmetic. The consensus is that the solution is indeed correct and appropriately simple for the problem presented.
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Homework Statement


A pair of fuzzy dice is hanging by a string from your rearview mirror. While you are accelerating from a stoplight to 28m/s in 6s, what angle does the string make with the vertical?


Homework Equations


g, accel. of car is 4 2/3 m/s^2


The Attempt at a Solution


http://img505.imageshack.us/img505/8594/physwl0.png

I just figured the two accelerations were all that was necessary since the string length and mass are not given. So the angle is arctan(4.66/9.8) or 25.43 degrees? I did this in class in under a minute and it seems right but on the other hand it also seems too easy.
 
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Yes it is that easy (assuming your arithmatic is correct)
 

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