Final answer:
To determine the length of Emma's model plane, calculate the scale factor using the wingspan and apply it to the real plane's length. After converting feet to centimeters, the scale factor is 1 / 203.2, and the model's length is 35.56 cm.
Step-by-step explanation:
The question asks us to find the length of Emma's scale model of a jet plane, given that the real airplane has a wingspan of 200 feet and a length of 240 feet, and the model has a wingspan of 30 cm. To solve this, we first need to establish the scale factor between the real jet and the model. Since the real wingspan is 200 feet and the model's wingspan is 30 cm, we convert 200 feet to centimeters (1 foot = 30.48 cm), which gives us 200 feet x 30.48 cm/foot = 6096 cm.
Next, we find the scale factor by dividing the model's wingspan by the real wingspan: 30 cm / 6096 cm. Simplified, this gives us the scale factor of 1 / 203.2. We apply this scale factor to the real length of the airplane to find the model's length: 240 feet x 30.48 cm/foot x (1 / 203.2) = 35.56 cm. Therefore, the length of Emma's model plane should be 35.56 cm.