Final answer:
To find the scale factor, convert the units of measurement and divide the actual wingspan by the difference in cm. To find the length of the model glider, multiply the scale factor by the actual length. For the wingspan and height of the model glider, divide the desired measurements by the scale factor.
Explanation:
In order to find the scale factor, we need to convert the units of measurement to match. Since the wingspan of the model needs to be between 15cm and 18cm, we subtract 15cm from 18cm to get a difference of 3cm. To find the scale factor, we divide the actual wingspan (in cm) by the difference. Let's assume the actual wingspan is 18m. We convert 18m to cm by multiplying it by 100 (since there are 100 cm in 1 m), giving us 1800cm. Now, we divide 1800cm by 3cm to get a scale factor of 600.
To find the length of the model glider, we need to multiply the scale factor by the actual length. Let's assume the actual length is 10m. We convert 10m to cm by multiplying it by 100, giving us 1000cm. Now, we multiply 1000cm by the scale factor of 600 to get a length of 600000cm or 6000m for the model glider.
To find the wingspan of the model glider, we multiply the scale factor by the wingspan of the actual glider. Since Alberto wants the wingspan of the model glider to be between 15cm and 18cm, we use the scale factor of 600 and divide the desired wingspan by it. This gives us a wingspan between 0.025cm and 0.03cm.
To find the height of the model glider, we need to multiply the scale factor by the height of the actual glider. Let's assume the height is 5m. We convert 5m to cm by multiplying it by 100, giving us 500cm. Now, we multiply 500cm by the scale factor of 600 to get a height of 300000cm or 3000m for the model glider.
