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?

Result

h =  5.4 m

Solution:

h1=180 cm=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=5.4  m h_{ 1 } = 180 \ cm = 180 / 100 \ m = 1.8 \ m \ \\ t_{ 1 } = 1.5 \ m \ \\ \ \\ t_{ 2 } = 3 \cdot \ t_{ 1 } = 3 \cdot \ 1.5 = \dfrac{ 9 }{ 2 } = 4.5 \ m \ \\ \ \\ h = 3 \cdot \ h_{ 1 } = 3 \cdot \ 1.8 = \dfrac{ 27 }{ 5 } = 5.4 = 5.4 \ \text{ m }



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