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Marcia is 1.5 meters tall. she casts a shadow that is 2 meters long. a nearby building casts a shadow that is 24 meters long. how tall is the building? (hint: use the properties of similar triangles.)
a. 48 m
b. 36 m
c. 18 m
d. 7 m

Respuesta :

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Ratio :
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[tex] \dfrac{\text {Actual}_1}{\text {Shadow}_1} = \dfrac{\text {Actual}_2}{\text {Shadow}_2} [/tex]

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Define x :
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Let the actual height of the building be x.

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Find the actual height of the building :
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[tex] \dfrac{1.5}{2} = \dfrac{x}{24} [/tex]

[tex]2x = 1.5 \times24[/tex]

[tex]2x = 36[/tex]

[tex]x = 18[/tex]

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Answer: The building is 18m tall. (Answer C)
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