Final answer:
The actual height of the object correlated with a scale drawing of 5 inches by 8 inches and an actual width of 38 feet is 23.75 feet. The actual height is 23.75 feet.
Step-by-step explanation:
The student has asked for the actual height of an object given the measurements of a scale drawing and the actual width. To determine the actual height, we need to first find the scale factor using the given width dimensions, both the actual and the scale measurements.
The scale drawing width is 8 inches, while the actual width is 38 feet. We convert feet to inches to work with consistent units (38 feet = 456 inches), and then divide the actual width by the scale width to find the scale factor:
Scale factor = Actual Width / Scale Drawing Width = 456 inches / 8 inches = 57
Now, we apply the scale factor to the height of the scale drawing to find the actual height:
Actual Height = Scale Drawing Height * Scale Factor = 5 inches * 57 = 285 inches
Finally, to present this in feet, we convert inches back to feet:
285 inches / 12 inches per foot = 23.75 feet
Therefore, the actual height of the object is 23.75 feet.