MAT-102 Geometry and Trigonometry for Safety Practice Geometry calculation record Use fictional or deidentified inputs. This worksheet does not award completion. Question and required output ______________________________________________________________________ ______________________________________________________________________ Sketch with view angle reference and labeled units ______________________________________________________________________ ______________________________________________________________________ Known inputs with source or dimension labels ______________________________________________________________________ ______________________________________________________________________ Formula and assumptions ______________________________________________________________________ ______________________________________________________________________ Calculation including unit conversion ______________________________________________________________________ ______________________________________________________________________ Independent check ______________________________________________________________________ ______________________________________________________________________ Interpretation and missing technical evidence ______________________________________________________________________ ______________________________________________________________________ WORKED TASK ONE A fictional rectangular container has internal dimensions 4 m by 2 m by 1.2 m. Calculate full geometric capacity, volume at 70% capacity in cubic metres and litres, and the liquid depth for that fraction. Verify volume using base area times liquid depth. State what the exercise does not establish about actual operating capacity. WORKED TASK TWO A fictional straight side rises 3 m over 4 m horizontally. Find its length, percentage grade, H:V ratio and acute angle above horizontal. A supplied AI answer uses arctan(4/3) and reports 53.13 degrees above horizontal. Identify the reference error and verify the corrected angle another way.