At 10:00 AM, the sun is 50° above the horizon. After each hour, the sun's altitude decreases by 4°. What is its altitude at 3:00 PM?
Answer
30°
The correct answer is 30° — Thus the sun’s altitude at 3:00 PM is 30°.
Step-by-step solution
- Count the hours from 10:00 AM to 3:00 PM: 5 hours.
- Multiply the hourly decrease by the number of hours: 4° × 5 = 20°.
- Subtract this decrease from the initial altitude: 50° – 20° = 30°.
- Thus the sun’s altitude at 3:00 PM is 30°.
Common mistake: Miscounting the number of hours between times
Concept tested: Change in sun altitude over time
Published · How this solution was prepared and checked
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