if a 6-foot -tall man casts a shadow that is 13 feet long, how tall is a tree that casts a shaow that is 169 feet long?
Set up a proportion, cross-multiply, and solve for x.
6/13 = x/169
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366.17
78
An electrical tower casts a 120-foot shadow. At the same time, a 10-foot street sign casts a shadow of 8 feet. What is the height of the tower?
x=150
electric tower
To find out the height of the tree, we can use the concept of proportions.
We know that the ratio of the height of the man to the length of his shadow is constant.
Let's set up a proportion to find the height of the tree:
Height of man / Length of man's shadow = Height of tree / Length of tree's shadow
Using the values given in the question, we can substitute them into the proportion:
6 feet / 13 feet = Height of tree / 169 feet
To solve for the height of the tree, we can cross-multiply:
6 feet x 169 feet = 13 feet x Height of tree
1014 feet = 13 feet x Height of tree
Now, we can isolate the height of the tree by dividing both sides of the equation by 13 feet:
1014 feet / 13 feet = Height of tree
Approximately, the height of the tree is 78 feet.