Juan and Anita are standing together in the schoolyard. Juan, who is 6 feet 2 inches tall, casts a shadow that is 54 inches long. At the same time, Anita casts a shadow that is 46 inches long. How tall is Anita?
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To find out how tall Anita is, we can use proportions. We will set up a ratio of Juan's height to his shadow, and then use the same ratio to find Anita's height.
Let's first convert Juan's height and shadow length to the same unit of measurement. Since Anita's shadow is given in inches, let's convert Juan's height to inches as well.
Juan's height: 6 feet 2 inches
There are 12 inches in 1 foot, so 6 feet is equal to 6 * 12 = 72 inches.
Therefore, Juan's height is 72 + 2 = 74 inches.
Now we can set up a proportion using Juan's height and shadow length:
Height_Juan / Shadow_Juan = Height_Anita / Shadow_Anita
Plugging in the values we know:
74 / 54 = Height_Anita / 46
Now, solve for Height_Anita:
Height_Anita = (74 / 54) * 46
Calculating this, we find that Anita's height is approximately 63 inches.