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Mathematics 14 Online
OpenStudy (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?

OpenStudy (anonymous):

@Agl202

OpenStudy (anonymous):

HELP

OpenStudy (anonymous):

@jtvatsim

OpenStudy (anonymous):

@Astrophysics

jimthompson5910 (jim_thompson5910):

Drawing |dw:1433638025129:dw|

jimthompson5910 (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?

OpenStudy (anonymous):

tangent?

jimthompson5910 (jim_thompson5910):

yep tan = opp/adj

jimthompson5910 (jim_thompson5910):

tan(4) = h/2500 solve for h

OpenStudy (anonymous):

174.81?

jimthompson5910 (jim_thompson5910):

I got 174.817029858777 so if you round to 2 decimal places, then it would be 174.82 |dw:1433638310319:dw|

OpenStudy (anonymous):

YAY THANK YOU!

jimthompson5910 (jim_thompson5910):

yw

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