anonymous
  • anonymous
The angle of elevation to the top of a 30-story skyscraper is measured to be 4º from a point on the ground 2,500 feet from the building. What is the height of the skyscraper to the nearest hundredth foot?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
HELP
anonymous
  • anonymous

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anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
Drawing |dw:1433638025129:dw|
jim_thompson5910
  • jim_thompson5910
with respect to the 4 degree angle, the h is the opposite side, the 2500 is the adjacent side |dw:1433638113342:dw| which trig function ties together those two sides?
anonymous
  • anonymous
tangent?
jim_thompson5910
  • jim_thompson5910
yep tan = opp/adj
jim_thompson5910
  • jim_thompson5910
tan(4) = h/2500 solve for h
anonymous
  • anonymous
174.81?
jim_thompson5910
  • jim_thompson5910
I got 174.817029858777 so if you round to 2 decimal places, then it would be 174.82 |dw:1433638310319:dw|
anonymous
  • anonymous
YAY THANK YOU!
jim_thompson5910
  • jim_thompson5910
yw

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