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OpenStudy (anonymous):
i can see why
OpenStudy (anonymous):
Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°.|dw:1425958219023:dw|
OpenStudy (anonymous):
I need to find the height, and the angle in which Kelly is looking at the lighthouse.
OpenStudy (tylerd):
first solve for height.
OpenStudy (tylerd):
tan(45)=height/14
14tan(45)=height
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OpenStudy (tylerd):
then you have 14+12=26
tan(theta)=height/26
or tan(theta)=14tan(45)/26
OpenStudy (tylerd):
arctan(14tan(45)/26)= angle of y
OpenStudy (tylerd):
that is assuming kelly is standing 12ft from gracy, rather then 12ft infront of gracy.
OpenStudy (anonymous):
Okay, so the height would be 45 since the tan of 45 is 1? Or would it be 14, reading it as 14 x the tan of 45?
OpenStudy (tylerd):
it would be 14
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OpenStudy (tylerd):
so you can subsitute 14 for 14tan(45) in the other parts
OpenStudy (tylerd):
to make it simpler
OpenStudy (anonymous):
Alright, thanks so much man :) I'll give you your medal here in a second.