The sun is at 90° above the horizon at noon. It decreases by 5° each hour after noon. What will be the angle of the sun at 2:00 pm?
Answer
80
The correct answer is 80 — Hence the angle at 2:00 pm is 80°.
Step-by-step solution
- From noon to 2:00 pm there are 2 hours.
- The sun's angle decreases by 5° per hour, so total decrease = 5° * 2 = 10°.
- Initial angle at noon = 90°.
- Subtract the decrease: 90° - 10° = 80°.
- Hence the angle at 2:00 pm is 80°.
Common mistake: Adding instead of subtracting
Concept tested: Sun's angle changes over time
Published · How this solution was prepared and checked
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