crystalgmelton
crystalgmelton crystalgmelton
  • 19-11-2019
  • Mathematics
contestada

A roof is inclined at an angle of 41.35 degrees. Find the complement of this angle.​

Respuesta :

mberisso
mberisso mberisso
  • 19-11-2019

Answer:

the complement of the angle is = [tex]48.65^o[/tex]

Step-by-step explanation:

Recall that the complement of an angle, is the angle that added to the given one would render [tex]90^o[/tex].

Therefore, to find the complement of the angle [tex]41.35^o[/tex] all we need to do is to find the angle [tex]\alpha[/tex] such that:

[tex]\alpha +41.35^o = 90^o[/tex]

solving for the unknown angle [tex]\alpha[/tex], we get:

[tex]\alpha +41.35^o = 90^o\\\\\alpha =90^o-41.35^o\\\\\alpha =48.65^o[/tex]

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