Question

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

Answer 1

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Ratio :
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`\frac{\text {Actual}_1}{\text {Shadow}_1} = \frac{\text {Actual}_2}{\text {Shadow}_2}`

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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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`(1.5)/(2) = (x)/(24)`


`2x = 1.5 *24`


`2x = 36`


`x = 18`

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