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Answer :
Final answer:
Using trigonometry with the tangent function, we calculated the height of the skyscraper above Sadie's eye level and then added her eye level height to find the total height. The skyscraper is approximately 198.97 meters tall.
Explanation:
To determine the height of the skyscraper, we can use trigonometry. Sadie is standing 275 meters away from the skyscraper and measures an angle of elevation of 36º. We can use the tangent function, which is the ratio of the opposite side (the skyscraper's height above Sadie's eye level) to the adjacent side (the horizontal distance from Sadie to the skyscraper).
Tan(36º) = (Height of Skyscraper - Sadie's Eye Level) / Distance from Skyscraper
Let's denote the height of the skyscraper above Sadie's eye level as 'H'. Using the tangent function:
Tan(36º) = H / 275 m
Solving for 'H' gives us:
H = 275 m * Tan(36º)
H ≈ 197.28 meters
We add Sadie's eye level height to find the total height of the skyscraper:
Total Height of Skyscraper = H + Sadie's Eye Level
Total Height of Skyscraper ≈ 197.28 meters + 1.69 meters
Total Height of Skyscraper ≈ 198.97 meters
Therefore, the skyscraper is approximately 198.97 meters tall.
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Answer:I just got it wrong the answer is 201.49
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