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HomeSATmathematicsgeometryandtrig › A 6-foot person casts a 4-foot shadow. At the sa…

A 6-foot person casts a 4-foot shadow. At the same time, a nearby tree casts a 24-foot shadow. How tall is the tree, in feet?

A$32$
B$30$
C$36$
D$28$
Answer & Solution
Correct answer: C. $36$
Similar right triangles: $\frac{6}{4} = \frac{h}{24}$. Cross-multiply: $4h = 144$, so $h = 36$ feet.
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