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Chapter 4: Problem 10

Sarah has just finished a long, exhausting 6 -mile run. She and her friend Jamal are gazing at a hill they need to climb to get back to their car. Jamal asks Sarah, "Gee, how steep do you think that hill is?" Based on research by Proffitt and his colleagues, Sarah is likely to: A. make a reasonably accurate estimate of the hill's slant, as most people do. B. underestimate the hill's slant, as most people do. C. overestimate the hill's slant, but to a lesser degree than she would have before her exhausting run. D. overestimate the hill's slant to an even greater degree than she would have before her exhausting run.

Short Answer

Expert verified
Answer: D. overestimate the hill's slant to an even greater degree than she would have before her exhausting run.

Step by step solution

01

Option A

A. make a reasonably accurate estimate of the hill's slant, as most people do. Sarah might make an accurate estimate. However, we need to consider the results of Proffitt's research and how it affects her perception after a long run.
02

Option B

B. underestimate the hill's slant, as most people do. If most people underestimate the slant of hills, Sarah could be likely to do the same. This is still based on general assumption, we still need to check how her exhausting run can have an effect.
03

Option C

C. overestimate the hill's slant, but to a lesser degree than she would have before her exhausting run. This statement implies that Sarah would overestimate the hill's slant after her run but not to a greater extent than she would have before her run. This seems to contradict the general assumption that her perception would be affected by her tired state.
04

Option D

D. overestimate the hill's slant to an even greater degree than she would have before her exhausting run. This option implies that Sarah would overestimate the hill's slant after her run, and that this overestimation would be greater than how she would have perceived it before her run. Proffitt's research indicates that people are more likely to overestimate the slant of a surface when they are fatigued or carrying a heavy load. Therefore, this option seems to be in line with the research findings, which suggests that Sarah (who is tired after her long run) would overestimate the hill's slant.
05

Conclusion

According to the research by Proffitt and his colleagues, and considering that Sarah has just finished a long, exhausting run, the correct answer to the question would be: D. overestimate the hill's slant to an even greater degree than she would have before her exhausting run.

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