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Robotoverlord Robotoverlord
  • 06-02-2017
  • Mathematics
Answered

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?

Verified Answer :

dexteright02
dexteright02 dexteright02
  • 06-02-2017

They are proportional magnitudes, the rule of three is made (directly proportional).

\(\frac{x}{20} = \frac{1.8}{2.4}\)
multiply cross
\(2.4*x = 20*1.8\)
\(2.4x = 36\)
\(x = \frac{36}{2.4}\)
\(\boxed{\boxed{x = 15\:meters\:height}}\end{array}}\qquad\quad\checkmark\)

Answer:
\(\underline{\textbf{The\:Ferris\:wheel\:is\:15\:meters\:high}}\)

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