Jack was planting a tree.He was to dig a hole that was 3 feet deep for every 5 feet of the tree height.How deep should he dig the hole for a tree that is 17 feet high?
thnks
To determine the depth of the hole Jack should dig for a tree that is 17 feet high, we can use a proportion based on the given information.
According to the given information, for every 5 feet of the tree height, a hole that is 3 feet deep needs to be dug.
Let's set up the proportion:
(tree height in feet)/(depth of the hole in feet) = (5 feet)/(3 feet)
Let x represent the depth of the hole that Jack needs to dig for a tree that is 17 feet high.
Using the proportion mentioned above, we can set up the equation:
17 feet / x = 5 feet / 3 feet
Cross multiply:
17 feet * 3 feet = 5 feet * x
51 feet = 5x
Divide both sides of the equation by 5 feet:
x = 51 feet / 5 feet
x = 10.2 feet
Therefore, Jack should dig a hole that is approximately 10.2 feet deep for a tree that is 17 feet high.
To determine how deep Jack should dig the hole for a tree that is 17 feet high, we can use the given ratio of 3 feet of depth for every 5 feet of tree height.
First, we need to find out how many sets of 5 feet are in the tree's height of 17 feet. We can do this by dividing 17 by 5:
17 feet ÷ 5 feet = 3 sets
Since we have 3 sets of 5 feet, we can multiply this by the depth required for each set. Each set requires a depth of 3 feet.
3 sets × 3 feet = 9 feet
Therefore, Jack should dig a hole that is 9 feet deep for a tree that is 17 feet high.
17/5 = 3.4
3.4 * 3 = ?