Taper Drawing Arithmetic: Diameter Change and Half-Angle Ratio

Taper Drawing Arithmetic: Diameter Change and Half-Angle Ratio

Original quantitative learning practice in English. All 24 questions are included. Four supplied cases exercise six related calculation targets; they form one topic, not four separate tests. Every question includes the complete initial data. Use the stated model and retain intermediate precision. Choose one answer. Learning target: 20/24, not an official pass mark. This bank covers the calculation topic in its title; it is not a complete professional examination, design approval or operating instruction.
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A straight conical surface changes from diameter 60 mm to 40 mm over axial length 100 mm. Define taper as diameter difference/axial length. Define tan(half-angle) as radius difference/axial length. A station is 25 mm from the small end along the axis; diameter varies linearly. No cutting setup is specified. Calculate the tangent of the geometric half-angle. Keep intermediate values unrounded; round the final result to four decimal places if necessary.