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Given the circle center at O, OT ias perpendicular to PT, If arcNBT is a semi circle and minor arcNB is 60 degrees what is angle APT?

 

 Jul 25, 2020
 #1
avatar+27607 
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Extend line from O to N  angle BON = AOT = 60 

APT is in a triangle witht wo other angles 90 and 60 degrees

APT = 180 - 60- 90  = ......

 Jul 25, 2020
 #2
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This question is mistaken...

 

The question should be: what is the angle APM? cool

 Jul 25, 2020
 #3
avatar+1352 
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I'm gonna attempt to answer Guest's question: What is the angle APM?

 

∠BON = ∠AOT = 60º                  ∠APT = 30º

 

∠BOT = ∠AON= 120º

 

Radius  TO = 1 

 

Diameter TN = 2

 

PT = TO / tan(30º)

 

∠NPT = tanarc( TN / PT ) ≈ 49.107º

 

AMP ≈ 19.107º

 

 

(1st question is for 5th graders and the second one for college students.) laugh

 Jul 25, 2020

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