OGmunkeyballz OGmunkeyballz
  • 26-05-2022
  • Mathematics
contestada

A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree.​

Respuesta :

jimrgrant1 jimrgrant1
  • 26-05-2022

Answer:

22.8 m

Step-by-step explanation:

the 2 situations are similar triangles

the ratio of corresponding sides are in proportion

let h be the height of the tree , then

[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )

1.3h = 29.64 ( divide both sides by 1.3 )

h = 22.8 m

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