Robotoverlord Robotoverlord
  • 07-02-2017
  • Mathematics
contestada

When a Ferris wheel casts a 20-meter shadow, a man 1.8 meters tall casts a 2.4 meter shadow. How tall is the Ferris wheel?

Respuesta :

dexteright02
dexteright02 dexteright02
  • 07-02-2017
They are proportional magnitudes, the rule of three is made (directly proportional).

[tex] \frac{x}{20} = \frac{1.8}{2.4} [/tex]
multiply cross
[tex]2.4*x = 20*1.8[/tex]
[tex]2.4x = 36[/tex]
[tex]x = \frac{36}{2.4} [/tex]
[tex]\boxed{\boxed{x = 15\:meters\:height}}\end{array}}\qquad\quad\checkmark[/tex]

Answer:
[tex] \underline{\textbf{The\:Ferris\:wheel\:is\:15\:meters\:high}}[/tex]

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