Final answer:
To determine the actual length of an object from a metric scaled drawing with a scale factor of 1:50, multiply the drawing measurement by the scale factor. A measurement of 100mm on the drawing corresponds to an actual length of 5 meters in reality.
Step-by-step explanation:
The actual length of an object represented by a measurement on a scaled drawing can be calculated using the scale factor of the drawing. The scale factor in the question provided is 1:50, which means that 1 unit on the drawing is equivalent to 50 units in reality.
We're given the total length of the measurement from the scaled drawing as 100mm. To find the actual length, we simply multiply the measured length by the scale factor. Therefore, the calculation to find the actual length is 100mm (the measured length) × 50 (the scale factor).
Actual length = 100mm × 50 = 5000mm
Since millimeters (mm) are a smaller unit than meters (m), we can convert this measurement into meters by using the conversion rate where 1 m = 1000 mm. This conversion results in:
Actual length in meters = 5000mm / 1000 = 5m
Therefore, the actual length of the object is 5 meters.