Steps of Construction :
(1) Taking O as center and radius 4 cm draw a circle.
(2) Draw the diameter AB in the circle.
(3) Draw a ray OC making an angle of 60° at O of OA to meet the circle at C.
(4) Draw a ray making an angle of 90° at C of OC.
(5) Draw a ray making an angle of 90° at B of OB to meet the first ray at D.
Hence, CD and BD are the required tangents which make an angle of 60° between each others.
On Measuring the distance and intersecting point of two tangents we get 8 cm.