15-08-2019
Mathematics

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15-08-2019

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.

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