sassymom sassymom
  • 23-05-2019
  • Mathematics
contestada

If a 4 ft stick cast a shadow of 2.8 ft. What is the height of a tree that cast a shadow of 27.44 ft?​

Respuesta :

Gyzmo
Gyzmo Gyzmo
  • 23-05-2019

Answer:

Height of tree = 39.2 ft

Step-by-step explanation:

The relationship between the height of an object and the length of it's shadow is directly proportional.

So:

[tex]\frac{4}{2.8} =\frac{h}{27.44}[/tex]

h = Height of tree in feet

Cross multiply

2.8h = 4 · 27.44

Simplify

2.8h = 109.76

÷2.8 both sides

h = 39.2

Height of tree = 39.2 ft

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