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 result:

h =  5.4 m

Solution:

h1=180 cmm=180/100 m=1.8 m t1=1.5 m  t2=3 t1=3 1.5=92=4.5 m  h=3 h1=3 1.8=275=5.4 mh_{1}=180 \ cm \rightarrow m=180 / 100 \ m=1.8 \ m \ \\ t_{1}=1.5 \ \text{m} \ \\ \ \\ t_{2}=3 \cdot \ t_{1}=3 \cdot \ 1.5=\dfrac{ 9 }{ 2 }=4.5 \ \text{m} \ \\ \ \\ h=3 \cdot \ h_{1}=3 \cdot \ 1.8=\dfrac{ 27 }{ 5 }=5.4 \ \text{m}



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