Final answer:
The questions ask for geometric calculations relating to determining triangular field dimensions, converting soccer field measurements, and understanding scale ratios for model making. Without additional information, we cannot calculate the third side of the triangular field. The soccer field's area in square feet is obtained by converting from meters using the factor 3.281, and the scale model dimensions are found by applying the given scale ratio.
Step-by-step explanation:
The questions provided revolve around geometric measurements and applications. Specifically, finding the dimensions of a triangular field and a rectangular fish pond, converting measurements between meters and feet for a soccer field, and understanding scale ratios for creating miniatures.
To solve triangular field problems where two sides are given, like the 80.0 m and 105 m lengths, one typically employs the law of cosines or law of sines to find the third side, assuming the angle between the known sides is also known. However, without an angle or a figure, it isn't possible to provide a definitive answer for the length of side C.
For the area of a soccer field, we multiply the length and width in meters by 3.281 to convert to feet. The calculation for a field 115 m long and 85 m wide in square feet would be (115 * 3.281) feet by (85 * 3.281) feet, and then multiplying these two results to find the area.
Understanding scale models requires comprehension of scale ratios. For instance, if 1/2 inch on the model represents 5 feet of the actual size, one would convert the dimensions of the actual object into inches based on this ratio by setting up a proportion and solving for the missing value. For a 10 feet by 20 feet rectangle at a scale of 1/2 inch to 5 feet, the model dimensions would be 1 inch by 2 inches.