At noon the sun is 70° above the horizon. It lowers by 8° each hour after noon. What is the angle of the sun at 4:30 pm?
Answer
34°
The correct answer is 34° — Hence the sun’s angle at 4:30 pm is 34°.
Step-by-step solution
- From noon to 4:30 pm there are 4.5 hours.
- The sun lowers by 8° per hour, so the total decrease is 8° × 4.5 = 36°.
- Subtract this from the noon angle: 70° − 36° = 34°.
- Hence the sun’s angle at 4:30 pm is 34°.
Common mistake: Using 8° for 4.5 hours without multiplication
Concept tested: Sun’s angular motion
Published · How this solution was prepared and checked
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