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Height of a Building You measure the shadow cast by One
Chapter , Problem 1.3.49(choose chapter or problem)
You measure the shadow cast by One Liberty Place in Philadelphia, Pennsylvania, and find it to be 105 feet long. Then you measure the shadow cast by a three-foot post and find it to be 4 inches long. Determine the building’s height.
Questions & Answers
QUESTION:
You measure the shadow cast by One Liberty Place in Philadelphia, Pennsylvania, and find it to be 105 feet long. Then you measure the shadow cast by a three-foot post and find it to be 4 inches long. Determine the building’s height.
ANSWER:Step 1 of 2
\(\frac{\text { building's height }}{\text { length of building's shadow }}=\frac{\text { post's height }}{\text { length of post's shadow }}\)
Let be the building's height.
\(\frac{x}{105}=\frac{3}{\frac{1}{3}}\)
We know that
\(4 \text { in. }=\frac{1}{3} \mathrm{ft}\)