Final answer:
The area of a triangle with a base of 166 mm and a height of 930.0 mm, when calculated using the proper formula and converted to meters, is 0.0772 m² when rounded to three significant figures.
Step-by-step explanation:
The area of a triangle can be calculated using the formula ½ × base × height. To find the area when the base is 166 mm and the height is 930.0 mm, we first convert the measurements to the same units of meters because the question asks for the area in square meters. Therefore, the base is 0.166 meters (since 1000 mm = 1 m) and the height is 0.930 meters. We can now apply the formula:
Area = ½ × 0.166 m × 0.930 m = 0.07719 m²
To express the answer to the proper number of significant figures, we notice both measurements were provided with three significant figures. Therefore, the area of the triangle rounded to three significant figures is 0.0772 m².