Jordan and Missy are standing together in the schoolyard. Jordan, who is 6 feet tall, casts a shadow that is 54inches long. At the same time, Missy casts a shadow that is 45 inches long. How tall is Missy?
The ratio of height to shadow length is the same for each. If x is Missy's height,
x/45 = 6/54
x = (45/54) x 6 feet = 45/9 = 5 feet
To find out how tall Missy is, we can set up a proportion using the information given. Let's call Missy's height "x". We know that Jordan's height is 6 feet and his shadow is 54 inches long, and Missy's shadow is 45 inches long.
The proportion can be set up as follows:
(Height of Jordan) / (Length of Jordan's shadow) = (Height of Missy) / (Length of Missy's shadow)
So, we have:
6 feet / 54 inches = x / 45 inches
To solve for x, we can cross-multiply:
6 feet * 45 inches = 54 inches * x
270 feet-inches = 54 inches * x
To isolate x, we divide both sides of the equation by 54 inches:
(270 feet-inches) / 54 inches = x
(270 feet / 54) inches = x
5 feet = x
Hence, Missy's height is 5 feet.
We can solve this problem using proportions. Let's set up a ratio between Jordan's height and his shadow length:
Jordan's height / Jordan's shadow length = Missy's height / Missy's shadow length
Substituting in the given values:
6 feet / 54 inches = Missy's height / 45 inches
To solve for Missy's height, we can cross-multiply and solve for the unknown:
(6 feet) * (45 inches) = (54 inches) * (Missy's height)
270 = 54 * Missy's height
To isolate Missy's height, divide both sides of the equation by 54:
Missy's height = 270 / 54
Simplifying the fraction:
Missy's height ≈ 5 feet
Therefore, Missy is approximately 5 feet tall.