You are a detective interviewing someone who says that (while sitting on a porch that you know to be 600ft away) he saw the masked suspect commit the crime in broad daylight. "How do you know it was the suspect?" you ask. "I clearly saw the 'MOM' that is tattooed on his upper arm." "You're sure it was that particular tattoo and not some other tattoo?" "Yes, I'm sure," The witness replies. The suspect's tattoo has letters that are 6cm tall. Is the witness credible, or might he be framing the suspect? Justify your response and any estimates you might make.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You are a detective interviewing someone who says that (while sitting on a porch that you know to be 600 ft away) he saw the masked suspect commit the crime in broad daylight. "How do you know it was the suspect?" you ask. "I clearly saw the 'MOM' that is tattooed on his upper arm." "You're sure it was that particular tattoo and not some other tattoo?" "Yes, I'm sure," the witness replies. The suspect’s tattoo has letters that are 6 cm tall. Is the witness credible, or might he be framing the suspect? Justify your response and any estimates you might make.

**Analysis of the Scenario:**

1. **Distance from Scene:** The witness claims to have observed the tattoo from a distance of 600 feet.
2. **Tattoo Details:** The letters in the tattoo are 6 cm tall.
3. **Credibility Question:** Evaluate the plausibility of such a claim based on visibility at a distance.

**Considerations:**

- **Visibility and Human Eye Limitations:** Calculate the angular size and whether the detail can be seen given the distance.
- **Estimations and Calculations:**
  - Convert 6 cm to feet for consistency.
  - Determine the minimum size and clarity required to see 6 cm at 600 feet.
  - Consider atmospheric conditions and daylight.

This information can help determine if the witness’s claim is plausible or if further investigation is needed to assess credibility.
Transcribed Image Text:You are a detective interviewing someone who says that (while sitting on a porch that you know to be 600 ft away) he saw the masked suspect commit the crime in broad daylight. "How do you know it was the suspect?" you ask. "I clearly saw the 'MOM' that is tattooed on his upper arm." "You're sure it was that particular tattoo and not some other tattoo?" "Yes, I'm sure," the witness replies. The suspect’s tattoo has letters that are 6 cm tall. Is the witness credible, or might he be framing the suspect? Justify your response and any estimates you might make. **Analysis of the Scenario:** 1. **Distance from Scene:** The witness claims to have observed the tattoo from a distance of 600 feet. 2. **Tattoo Details:** The letters in the tattoo are 6 cm tall. 3. **Credibility Question:** Evaluate the plausibility of such a claim based on visibility at a distance. **Considerations:** - **Visibility and Human Eye Limitations:** Calculate the angular size and whether the detail can be seen given the distance. - **Estimations and Calculations:** - Convert 6 cm to feet for consistency. - Determine the minimum size and clarity required to see 6 cm at 600 feet. - Consider atmospheric conditions and daylight. This information can help determine if the witness’s claim is plausible or if further investigation is needed to assess credibility.
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