John is looking up at the top of the Empire State Building from 1 mi. away and measures the angle of elevation to be 11 degrees.
Use this information to find the approximate height of the Empire State Building to the nearest foot.
2 answers:
Refer to the attached image.
Let the height of the Empire State Building = BC = 'x'
John is standing at distance from Empire State Building = AB = 1 mile
The angle of elevation = 11°
In triangle ABC,
Consider
x = 0.194 mile
Since 1 mile =5280 feet
So, x =
= 1024.32 feet.
So, the height of the Empire State Building is 1024.32 feet.
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