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telo118 [61]
3 years ago
8

The angle of elevation to the top of a 30 story skyscraper is measured to be 3 degrees from a point on the ground 2,000 feet fro

m the building.What is the height of the skyscraper to the nearest hundreth foot?
Mathematics
1 answer:
Leto [7]3 years ago
4 0
You have an angle of elevation of 3 degrees and you're 2000 ft from base of 30 story building. 
<span>Draw a picture of this. Then tan(3) = ht of bldg/2000 </span>
<span>I get a height of 104.82 ft rounded to 2 dp. </span>


<span>5. Ok. use the Pythagorean Theorem here to find the hypotenuse of the right triangle </span>
<span>hypt = sqrt(50^2 + 9^2) </span>
<span>Now sine of the angle of elevation is 50/hypt. = 0.984 or 0.98 to 2 dp.</span>
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