Measurement of Taper using Sine Bar            

Why do we use Sine bars to find angles?
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Which type of workpieces are commonly measured using a sine bar?
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What are the sources of errors in sine bars?
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If you have a sine bar with a length of 250 mm. and you placed a 20 mm thick slip gauge under one end to measure a specific angle. What angle does the sine bar make with the reference surface?
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If you are using a sine bar with a length of 300 mm. and, you have to use a slip gauge of 25 mm thickness at one end to set an angle of 15 degrees. What will be the height of the slip gauge needed at the other end to achieve this angle?
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