meredith48034 meredith48034

03-06-2019
Mathematics

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At a certain time in the afternoon a light pole casts a shadow that us 11 ft 9 in long. At the same time, a woman of height 4 ft 6 in casts a shadow that is 18 inches long. How tall is the light pole?

Respuesta :

03-06-2019

We have similar triangles so

[tex]\dfrac{4'6"}{18"} = \dfrac{x}{11'9"}[/tex]

[tex] x= \dfrac{ (12(11)+9 )(12(4)+6) }{18 } = 423 \textrm{ inches}[/tex]

Answer: 35' 3"

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