anonymous
  • anonymous
From a point 300ft from a building, the angle of elevation to the base of an antenna on the roof is 32.7 degrees. The angle of elevation to the top of the antenna is 42.3 degrees. What is the height of the antenna alone? Would this be a situation for csc sec and cot?
Mathematics
chestercat
  • chestercat
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campbell_st
  • campbell_st
so have you drawn a diagram... its always a good start
anonymous
  • anonymous
|dw:1433277289602:dw|
anonymous
  • anonymous

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anonymous
  • anonymous
i don't know which one I would use :/
campbell_st
  • campbell_st
so find x, using the tan ratio |dw:1433277260515:dw|
campbell_st
  • campbell_st
well you have the adjacent and need to find the opposite...?
campbell_st
  • campbell_st
so which ratio uses opposite and adjacent..?
anonymous
  • anonymous
tan
campbell_st
  • campbell_st
great so \[\tan(32.7) = \frac{x}{300}\] solve for x
campbell_st
  • campbell_st
repeat the process to the top of the antenna |dw:1433277446569:dw| this time find y. The height of the antenna is y - x hope it helps...
anonymous
  • anonymous
tan(32.7) = .64 * 300 for x? so 192.6 for the first one
campbell_st
  • campbell_st
great... so repeat the process... to find y... then you can find the height of the antenna alone hope it makes sense
anonymous
  • anonymous
thank you
anonymous
  • anonymous
80.378 is the height of the radar :)

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