Final answer:
The scale of the drawing in centimeters to meters, given the dimensions of an Olympic swimming pool and its scale drawing, is 1:10. This is because 1 cm on the drawing represents 0.1 meters in real life.
Step-by-step explanation:
The student has presented a scale drawing question where the dimensions of an Olympic swimming pool are given in centimeters (50 cm by 100 cm) with a diagonal of approximately 112 cm. To find the scale of the drawing in centimeters to meters, we need to compare the drawing size to the real-world size of an Olympic swimming pool. An Olympic pool typically has dimensions of 50 meters in length and 25 meters in width. We know from the Pythagorean theorem that the diagonal of a rectangle is the square root of the sum of the squares of its sides. For an Olympic pool, the diagonal would therefore be √(50² + 25²) meters or √(2500 + 625) which equals √3125, or approximately 55.9 meters.
To find the scale, we take the drawing's dimension and divide it by the actual pool's dimension. For length, that's 50 cm (drawing) / 50 m (real) which equals 1 cm to 1 m. Since 1 meter is 100 centimeters, the scale is 1:100 or 1 cm to 1 m. Thus, the correct answer is c) 1:10 since 1 cm in the drawing represents 10 cm, which is 0.1 meters, in real life.