A 12 foot-high pole casts a 9 foot long shadow, at the same time of day, what would be the length of a shadow cast by a 45 foot-long tree
To find the length of the shadow cast by a 45-foot-long tree, we can use a proportion.
Let's set up a proportion using the given information:
Proportion: height of the pole / length of the pole's shadow = height of the tree / length of the tree's shadow
From the given information, we have:
height of the pole = 12 feet
length of the pole's shadow = 9 feet
Let's substitute these values into the proportion:
12 feet / 9 feet = height of the tree / length of the tree's shadow
Now we need to solve for the unknown length of the tree's shadow.
Cross-multiplying the proportion:
12 feet * length of the tree's shadow = 9 feet * height of the tree
We can simplify this:
12 * length of the tree's shadow = 9 * height of the tree
Now, since we want to find the length of the tree's shadow, we rearrange the equation:
length of the tree's shadow = (9 * height of the tree) / 12
Next, we substitute the height of the tree:
length of the tree's shadow = (9 * 45 feet) / 12
Calculating this:
length of the tree's shadow = (405 feet) / 12
Simplifying:
length of the tree's shadow = 33.75 feet
Therefore, the length of the shadow cast by the 45-foot-long tree would be approximately 33.75 feet.
13
Use a proportion.
12/9 = 45/x
Cross multiply and solve for x.