Eileen, Jackie, and Kathryn needed to find the difference between two angles A1 and A2, that they had drawn on a diagram:
B = A1+A2
They then had to find the cosine of B. Jackie measured A1 to be 50° and A2 to be 3°. But their pencil was kind of dull, so the lines they had drawn were about 0.5° thick. How much uncertainty in each angle was caused by the thick pencil lines? How much uncertainty is there in B? How about the cosine of B?
My work so far:
A1=50°+/- 0.5
A1 max = 50.5. A1 min = 49.5
A2 = 3°+/- 0.5
A2 max = 3.5 A2 min = 2.5
b(max) = 48 and b(min) to be 46
the uncertainty = 47+/- 1
Is this right?
I don't know how to find cosine of B but I think it's cos (0.5) = 1 ?
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