At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.
Which of the three objects casts the longest shadow?
Change all of the measurements to feet.
1 foot = 12 inches
1 yard = 3 feet
I'll be glad to check your answer.
1 ft = 12 in
1 yd = 36 in
Buildin tall:
20 ft = 12 * 20 = 240 in
A tree's height:
252 in = 252 in
Flagpole high:
6 yd = 6 * 36 = 216 in
To determine which of the three objects casts the longest shadow, we need to compare their heights and calculate the length of their respective shadows. Let's start by converting the measurements to a consistent unit.
1. School building: Given that its height is 20 feet, we will convert this to inches since the height of the tree is already provided in inches. There are 12 inches in a foot, so the height of the school building in inches is 20 feet * 12 inches/foot = 240 inches.
2. Tree: The height of the tree is already given as 252 inches.
3. Flagpole: Given that the height of the flagpole is 6 yards, we will convert this to inches. Since there are 3 feet in a yard and 12 inches in a foot, the height of the flagpole in inches is 6 yards * 3 feet/yard * 12 inches/foot = 216 inches.
Now let's compare the heights:
- School building: 240 inches
- Tree: 252 inches
- Flagpole: 216 inches
To determine which object casts the longest shadow, we can conclude that the tree, with a height of 252 inches, will cast the longest shadow.
To determine which of the three objects casts the longest shadow, we need to compare their heights and calculate the corresponding shadow lengths.
First, let's convert all the measurements to the same unit. We can convert feet to inches by multiplying by 12 and yards to inches by multiplying by 36.
The building is 20 feet tall, which is equal to 20 x 12 = 240 inches.
The tree's height is 252 inches.
The flagpole is 6 yards high, which is equal to 6 x 36 = 216 inches.
Now, to calculate the shadow lengths of each object, we need to consider the angle of the sun. Assuming the sun is directly overhead, the shadow length will be equal to the height of the object.
Therefore, the shadow lengths are as follows:
- Building: 240 inches
- Tree: 252 inches
- Flagpole: 216 inches
Comparing the shadow lengths, we can see that the tree casts the longest shadow with a length of 252 inches.