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Cross-multiply:
Height : shadow
H : 60'
3' : 2'
H=3'*60'/2'= 90'
Height : shadow
H : 60'
3' : 2'
H=3'*60'/2'= 90'
(height of tree) / (length of tree's shadow) = (height of yardstick) / (length of yardstick's shadow)
Let's substitute the values into the equation:
(height of tree) / 60 feet = 1 yard / 2 feet
Since we know that 1 yard is equal to 3 feet, we can convert the equation:
(height of tree) / 60 feet = (1 yard) / 2 feet
(height of tree) / 60 feet = 3 feet / 2 feet
By cross-multiplying, we get:
2(height of tree) = 60 feet * 3 feet
2(height of tree) = 180 feet
Simplifying further:
(height of tree) = 180 feet / 2
(height of tree) = 90 feet
Therefore, the height of the tree is 90 feet.