A tree casts a shadow 36 feet long. A man 6 feet tall cast a shadow 9 feet long. What is the height of the tree?
a. 60 feet
b. 24 feet
c. 18 feet
d. 22 feet
nvm it’s B
Right, and here is a process for future use.
6/9 = x/36
Solve for x.
To find the height of the tree, we can set up a proportion using the lengths of the shadows and the heights of the man and the tree.
Let x be the height of the tree.
The proportion can be set up as follows:
(Height of the man) / (Length of the man's shadow) = (Height of the tree) / (Length of the tree's shadow)
Substituting the given values:
6 feet / 9 feet = x feet / 36 feet
Now, we can solve for x by cross-multiplying and then dividing:
6 feet * 36 feet = 9 feet * x feet
216 feet = 9 feet * x
x = 216 feet / 9 feet
x = 24 feet
Therefore, the height of the tree is 24 feet.
So, the correct answer is b. 24 feet.
To find the height of the tree, we can set up a proportion using the measurements given.
Let's represent the height of the tree as 'x.' According to the information given, the length of the tree's shadow is 36 feet, and the length of the man's shadow is 9 feet.
So the proportion can be written as:
(Height of tree)/(Length of tree's shadow) = (Height of man)/(Length of man's shadow)
x/36 = 6/9
Now, we can cross-multiply and solve for 'x':
9x = 36 * 6
9x = 216
Dividing both sides of the equation by 9:
x = 216/9
x = 24
Therefore, the height of the tree is 24 feet.
So the correct answer is option b. 24 feet.