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Alchen [17]
3 years ago
8

A building casts a shadow 25 m long. At the same time, the shadow cast by a 44-cm tall pole is 59 cm long. Find the height of th

e building.
 A. 17.1 m B. 32.0 m C. 33.5 m D. 18.6 m
Mathematics
1 answer:
EastWind [94]3 years ago
3 0

For this, we are going to be using proportions to solve. But firstly, we have to convert cm to m. For this, I'll be using dimensional analysis:

\frac{44\ cm}{1}*\frac{0.01\ m}{1\ cm}=\frac{0.44}{1}=0.44\ m

\frac{59\ cm}{1}*\frac{0.01\ m}{1\ cm}=\frac{0.59}{1}=0.59\ m

Now that we have everything in meters, we can put it into proportions. In this case, our proportion is \frac{x}{25} =\frac{0.44}{0.59}

Firstly, cross-multiply: 0.59x=11

Next, divide both sides by 0.59, and your answer will be x = 18.6 m, or D.

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