Question

Need help on solving problems with common tangents

Answer 1

First of all, tangents make an angle of 90 degrees with the radius of a circle.

Hence, Both the triangles are right angled.

Now apply pythagorean theorem on triangle LKJ, and find the length of tangent,

which is x= tan(68) * 3 = 7.42

Now, on LMJ to find MJ

so, MJ = 7.42 * tan(61) = 13.39

Hope it helps