In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time, a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth.
A) 42.0 ft
B) 85.7 ft
C) 18.0 ft
D) 52.5 ft
Answer (3)
4.20 ft is the answer buddy ;
l oo k a t t h e p i c t u re Δ A BC ∼ Δ D EF ∣ EF ∣ ∣ E D ∣ = ∣ BC ∣ ∣ A B ∣ 14 ∣ E D ∣ = 2 6 14 ∣ E D ∣ = 3 / ⋅ 14 ∣ E D ∣ = 42 ( f t ) A n s w er : A .
The height of the tree is calculated to be 42 ft based on the proportions of the heights of the stick and the lengths of their shadows. Using similar triangles, we set up a ratio to find the unknown height. Therefore, the answer is A) 42.0 ft.
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