Math / Geometry

QuestionGabrielle knows that a fir tree that is 8 feet tall casts a shadow that is 15 feet long. She wants to calculate the height of a nearby plum tree. If its shadow is 30 feet long, how tall is the plum tree?
Write your answer as a whole number or a decimal. Do not round. 新 $\square$ feet Submit

Studdy Solution
Solve the proportion for $h$ :
First, cross-multiply:
$8 \times 30 = 15 \times h$
Simplify:
$240 = 15h$
Divide both sides by $15$ to solve for $h$ :
$h = \frac{240}{15}$
Calculate the division:
$h = 16$
The height of the plum tree is:
$\boxed{16}$ feet

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