Respuesta :
Given the information, we can create 2 ratios: tree height over shadow length
This gives us:
30/12 = 28/x
We then need to solve for x by cross multiplying:
30x = 336
Then we can divide 336 by 30:
As a reduced fraction:
x = 56/5 ft
As a decimal:
x = 11.2 ft
This gives us:
30/12 = 28/x
We then need to solve for x by cross multiplying:
30x = 336
Then we can divide 336 by 30:
As a reduced fraction:
x = 56/5 ft
As a decimal:
x = 11.2 ft
The length of the shadow and the tree are illustrations of equivalent ratios
The length of the shadow cast by a 28-foot tree is 11.2 ft
The ratio is given as:
Ratio = Length : Shadow
So, we have:
30 : 12 = 28 : x
Where x represents the length of the shadow of the 28-foot tree
Express the ratio as fraction
12/30 = x/28
Multiply both sides by 28
28 * 12/30 = x
Rewrite as:
x = 28 * 12/30
So, we have:
x = 11.2
Hence, the length of the shadow cast by a 28-foot tree is 11.2 ft
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