Answer:
56/65.
Step-by-step explanation:
By Pythagoras AB = √(5^2 + 12^2) = √169 = 13.
and AC = √(12^2 + 9^2) = √225 = 15.
sin BAC = sin (BAD + CAD) = sin BAD cos CAD + cos BAD sin CAD.
= 5/13 * 12/15 + 12/13 * 9/15
= 60/195 + 108/195
= 168/195
= 56/65.
