Shadow of tree

Miro stands under a tree and watching its shadow and shadow of the tree. Miro is 180 cm tall and its shade is 1.5 m long. The shadow of the tree is three times as long as Miro's shadow. How tall is the tree in meters?

Correct answer:

h =  5.4 m

Step-by-step explanation:

$$\begin{gathered} h_1=180\text{ cm}\to \text{ m}=180\mathrm{/}100\text{ m}=1.8\text{ m } \\ {t}_1=1.5\text{ m } \\ {t}_2=3\cdot t_1=3\cdot 1.5={\displaystyle \frac{9}{2}}=4.5\text{ m } \\ h=3\cdot h_1=3\cdot 1.8={\displaystyle \frac{27}{5}}={\displaystyle \frac{27}{5}}\text{ m}=5.4\text{ m} \end{gathered}$$

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