Solution:
Steps to construct:
Step 1: Draw a circle with center O and radius 4cm and mark that point as A.
Step 2: Take a point P such that OP = 7cm.
Step 3: Bisect OB at M.
Step 4: With center M and diameter OP, draw another circle intersecting the given circle at A and B.
Step 5: Join PA and PB. Hence PA and PB are pair of tangents to the circle.
Step 6: On measuring PA, it is equal to 5.5cm.