Krishna
0

Step 1: For better understanding construct a figure using the given data

Step 2: Look at the figure triangle OAP is right angle triangle. So use the Pythagoras theorem to find the length of the tangent (AP).

NOTE:  Pythagoras theorem

(hypotenuses)^2 = (side)^2 + (side)^2

From the figure OAP

(AP)^2 = (OA)^2 + (AP)^2

Step 3: Substitute all the known values in the theorem

(OP)^2 = (OA)^2 + (AP)^2

(15)^2=9^2+(AP)^2

AP^2=225-81

AP=\sqrt{144}

AP = 12