height of point of contact from the table top= h Circle(O1. 8) & Circle(O2, 2) Line from O2 touching the vertical radius be at point A Angle subtend by O1A at O2 be x And point of contact of the two spheres be B So, In triangle(O1AO2) Sin x = perpendicular/hypt. =6/10=3/5 (i)
In triangle O2BC
Sin x =BC/ O1B = 3/5 ...(fro eqn i) So, BC=(O1B) (3/5) (2)(3/5) BC= (6/5) So, h = BC + radius of smaller circle =1.2 + 2 =3.2
Other Related Questions on discuss with askiitians tutors