Problema Solution
A building 70 feet tall casts a shadow 20 feet long. A person 6 feet tall is walking directly away from the building toward the edge of the building's shadow. How far from the building will the person be when the person's shadow just begins to emerge from that of the building? (Round your answer to one decimal place.)
Answer provided by our tutors
For the answer to this question, we need to find the length of the persons shadow. It will be proportional to that of the buildings with the following equation:
70/20=6/n
where n is the length of the person's shadow.
n=1.71
This means that the person will be just over (70-1.71)ft away from the building when his shadow begins to show.
70-1.71=68.29 ft