Question

If two tangents inclined at an angle 60 are drawn to a circle of radius 5cm,find the length of each tangent.
Step by step?

Answer 1

tan30 = 5/tangent,

1/√3 = 5/tangent,

then

tangent =5√3

Answer 2

Radius = 5cm

we know PA = PB

OA=OB=5cm

∆PBO is right angle triangle
|_B=90°

Tan30 = OB/PB
1/√3 = 5/PB

PB=5√3

similarly

∆POA is right angle triangle

|_A=90°

Tan30°= OA/PA

1/√3= 5/PA

PA= 5√3