If two tangents inclined at an angle 60° are drawn to a circle of radius 7 cm, then what is the length of each tangent? Please include the method as well.
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Let OA be the radius, AP and BP are the tangents.
Given angle APB=60°
Angle APO = 30°
In triangle OAP,
tan30 = OA/AP
1/√(3)=7/AP
AP= 7*sqrt(3)
= 7*1.732
= 12.124 cm
Given angle APB=60°
Angle APO = 30°
In triangle OAP,
tan30 = OA/AP
1/√(3)=7/AP
AP= 7*sqrt(3)
= 7*1.732
= 12.124 cm
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