Asked by justin
Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G K is 27.
Given right triangle GYK, what is the value of tan(G)?
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
StartRoot 3 EndRoot
All Answers 1
Answered by
GPT-5 mini
AI
tan(G) = tan(60°) = √3.
Reason: triangle is 30-60-90; GK is opposite the 30° angle so GK is the short side. Opposite 60° is √3 times that, so tan(60°)=opposite/adjacent=√3/1=√3.
Reason: triangle is 30-60-90; GK is opposite the 30° angle so GK is the short side. Opposite 60° is √3 times that, so tan(60°)=opposite/adjacent=√3/1=√3.
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