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A building casts a shadow 25 meters long when the sun’s angle of elevation is 45°. What is the height of the building?
- 20 m
- 25 m
- 30 m
- 50 m
Correct answer: 25 m
Solution
For an angle of elevation of 45°, tan 45° = 1. So height/shadow = 1, which means the height equals the shadow length. Therefore, the building’s height is 25 m.
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