Shadows

At the park, a young woman who is 1.72 meters tall casts a 3.5 meters shadow at a certain hour. What is the height of a tree in the park that, at the same time, casts a 12.3 meters shadow?

Correct answer:

y₂ =  6.0446 m

Step-by-step explanation:

$$\begin{gathered} y_1=1.72\text{m} \\ {x}_1=3.5\text{m} \\ {x}_2=12.3\text{m} \\ {y}_2:x_2=y_1:x_1 \\ {y}_2=x_2\cdot \frac{y_1}{x_1}=12.3\cdot \frac{1.72}{3.5}=\frac{5289}{875}\text{m}=6.0446\text{m} \end{gathered}$$

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