Final answer:
To calculate the actual diameter of the pool in feet from a scale drawing of 1(1/2) inches with a scale factor of 1/72, convert the drawing measurement to feet (1.5/12 feet) and then multiply by the scale factor, resulting in an actual diameter of 9 feet.
Step-by-step explanation:
The question asked by the student concerns the calculation of an actual diameter from a scale drawing. The student is given a scenario where the diameter of a swimming pool in a scale drawing is 1(1/2) inches and the scale factor is 1/72.
To find the actual diameter in feet, we use a simple multiplication of the scale drawing measurement by the scale factor.
The pool's diameter on the drawing is 1.5 inches (1 and 1/2 inches), which must be converted into feet before applying the scale factor since the desired answer should be in feet. There are 12 inches in a foot, so the drawing's diameter in feet is 1.5/12 feet.
Multiplying this by the scale factor, we get 1.5 inches * (19 feet. Hence, the actual diameter of the swimming pool is 9 feet. This calculation aligns with mathematical principles related to proportions and scale.