Eliot is playing football. He is 6 feet tall. He stands exactly half way between two floodlights. The floodlights are 12 yards high and 50 yards apart. The floodlights give Eliot two shadows, falling in opposite directions. 1. Draw a diagram to represent this situation. Label your diagram with the measures. 2. Find the total length of Eliot's shadows. Explain your reasoning in detail. 3. Suppose Eliot walks in a straight line towards one of the floodlights. Figure out what happens to the total length of Eliot's shadows.y Explain your reasoning in detail.
Eliot is playing football. He is 6 feet tall. He stands exactly half way between two floodlights. The floodlights are 12 yards high and 50 yards apart. The floodlights give Eliot two shadows, falling in opposite directions. 1. Draw a diagram to represent this situation. Label your diagram with the measures. 2. Find the total length of Eliot's shadows. Explain your reasoning in detail. 3. Suppose Eliot walks in a straight line towards one of the floodlights. Figure out what happens to the total length of Eliot's shadows.y Explain your reasoning in detail.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help on number 3
Transcribed Image Text:### Floodlights
**Scenario:**
Eliot is playing football. He is 6 feet tall. He stands exactly halfway between two floodlights. The floodlights are 12 yards high and 50 yards apart. The floodlights give Eliot two shadows, falling in opposite directions.
**Instructions:**
1. **Draw a diagram to represent this situation.**
- **Task:** Label your diagram with the measures.
2. **Find the total length of Eliot’s shadows.**
- **Task:** Explain your reasoning in detail.
3. **Suppose Eliot walks in a straight line towards one of the floodlights.**
- **Task:** Figure out what happens to the total length of Eliot’s shadows.
- **Task:** Explain your reasoning in detail.
**Image Description:**
The image contains an illustration of a football player representing Eliot under two floodlights, casting two shadows in opposite directions.
**Further Instructions:**
- Ensure your diagram accurately depicts the distances and heights given.
- Provide clear mathematical reasoning for calculating the lengths of the shadows and how they change as Eliot moves.
---
**Source:**
Student materials, Deducting Relationships: Floodlight Shadows, © 2015 MARS, Shell Center, University of Nottingham
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