Final answer:
The height of the flag with a 1:4 ratio to its 6 feet length is found through the proportion 1/4 = h/6, resulting in a height of 1.5 feet.
Step-by-step explanation:
The question asks for the height of a flag given the ratio of its sides and the length. The ratio is 1:4, which means for every 1 part of height, the flag has 4 parts of length. Since the length of the flag is 6 feet, we need to find the height that corresponds to this length given the ratio.
To do this, we can set up a proportion, where the height of the flag (let's call it 'h') to the length of the flag (6 feet) is equal to the ratio of 1:4. This proportion looks like: 1/4 = h/6.
To solve for 'h', we cross-multiply and divide: h = (1/4) * 6. Therefore, h = 1.5, meaning the height of the flag is 1.5 feet.