Given :
A circle with center O and radius 5 cm.
Steps of construction :

(1)Taking O as center and radius 5 cm draw a circle.
(2) Draw the diameter AB of the circle.
(3) Draw a ray of O making angle of 60° with OB to meet the circumference at P.
(4) At point A, draw a ray AX making and angle of 90° with OA.
(5) Similarly, draw another tangent PY from P. AX and PI intersect each other at T.
Hence PT and AT are the required tangents which make an angle of 60° between.