Final answer:
The scale model's wingspan is approximately 33.8 cm when the actual jumbo jet's wingspan is converted to centimeters and the scale factor is applied.
Step-by-step explanation:
The student is asking to find the scale model's wingspan in centimeters based on a given length of a jumbo jet and its scale model. To solve this, we first establish the scale ratio between the actual plane and the scale model using the provided lengths. Then we use this ratio to find the scale model's wingspan.
First, we write the scale factor as the ratio of the model's length to the actual plane's length, which is 40 cm / 230 ft. Since 1 ft is 30.48 cm, we convert the plane's length to centimeters: 230 ft x 30.48 cm/ft = 7010.4 cm. So the scale factor is 40 cm / 7010.4 cm.
Next, we write a ratio to represent the actual wingspan to the unknown scale length of the wingspan. Since the actual wingspan is 195 ft, we convert this to cm: 195 ft x 30.48 cm/ft = 5943.6 cm. Using the scale factor, the wingspan of the model will be (scale factor) x (actual wingspan in cm).
Thus, the scale model's wingspan is (40 cm / 7010.4 cm) x 5943.6 cm ≈ 33.8 cm when rounded to the nearest tenth.