Question

Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches tall. She comes across a door, about 15 inches high, that leads to a garden. After drinking a potion, Alice's height changes to 10 inches so she can visit the garden. How tall would the door have been in Alice's normal world? Justify your answer and provide mathematical evidence. ​

Answer 1

The answer is 75 inches.

Explanation:

If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.