Jordan and Missy are stnading together in the schoolyard. Jordan, who is 6 feet tall, casts a shadow that is 54 inches long. At the same time, Missy casts a shadow that is 45 inches lobg. How tall is missing?
1 38in
2 86.5in
3 5ft
4 5ft 6in.
plz help!!
you have 2 similar triangles, so use ratios
6 feet/54 inches = h feet/45 inches
54h feetinches = 270 feetinches
h = 270/54
= 5
missy is 5 feet tall.
Well, let's use a little math (and humor) to figure this out!
We know that Jordan, who is 6 feet tall, casts a shadow that is 54 inches long. So if we divide Jordan's height by the length of his shadow, we can find out how long each inch of shadow represents in terms of his height:
6 feet / 54 inches = 0.1111 feet (rounded to 4 decimal places)
Now, let's do the same for Missy. Her shadow is 45 inches long, so if we multiply the length of her shadow by the length of each inch of Jordan's shadow:
45 inches * 0.1111 feet = 4.9995 feet
Ah, there you have it! Missy is approximately 5 feet tall! So the correct answer is option 3: 5 feet.
Hope that helps, and remember, when in doubt, just clown around with some math!
To solve this problem, we can use the concept of similar triangles. The height of an object is proportional to the length of its shadow.
Let's set up a proportion using the information given:
Height of Jordan / Length of Jordan's shadow = Height of Missy / Length of Missy's shadow
6 feet / 54 inches = Height of Missy / 45 inches
To find the height of Missy, we need to cross-multiply and solve for the unknown height:
6 feet * 45 inches = 54 inches * Height of Missy
270 feet * inches = 54 inches * Height of Missy
Dividing both sides of the equation by 54 inches, we get:
Height of Missy = (270 feet * inches) / 54 inches
Simplifying the equation, we have:
Height of Missy = 5 feet
Therefore, Missy is 5 feet tall. The correct answer is option 3: 5ft.
To find out how tall Missy is, we can use a proportion. The ratio of Jordan's height to his shadow length should be equal to the ratio of Missy's height to her shadow length.
Let's set up the proportion equation:
Jordan's height / Jordan's shadow length = Missy's height / Missy's shadow length
Using the given measurements:
6 feet / 54 inches = Missy's height / 45 inches
First, let's convert the height to the same unit. Since we are given Jordan's height in feet and Missy's shadow in inches, we can convert Jordan's height to inches by multiplying it by 12 (since there are 12 inches in a foot).
6 feet = 6 * 12 inches = 72 inches
Now we can substitute the values into the equation:
72 inches / 54 inches = Missy's height / 45 inches
To solve for Missy's height, we can cross-multiply and then divide:
72 inches * 45 inches = 54 inches * Missy's height
3240 inches^2 = 54 inches * Missy's height
Missy's height = 3240 inches^2 / 54 inches
Missy's height = 60 inches
Now that we know Missy's height in inches, we can convert it back to feet by dividing by 12:
60 inches / 12 inches = 5 feet
Therefore, Missy is 5 feet tall.
The correct answer is 3) 5ft.