Answer: The correct option is
(B)
![(12)/(13).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/65hgindz0vsco0watrvij19dt70vvdkj3j.png)
Step-by-step explanation: We are given to find the value of cos B in the right-angled triangle ABC shown.
From the figure, we can see that
AB = 12 units, BC = 13 units and AC = 5 units.
For the acute angle B, we have
base, b = AB = 12 units
and
hypotenuse, h = BC = 13 units.
Therefore, we get
![\cos \angle B=(base)/(perpendicular)\\\\\\\Rightarrow \cos \angle B=(AB)/(BC)\\\\\\\Rightarrow \cos \angle B=(12)/(13).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/coll1byxiuxolx3578rl7dhdfzmg772frx.png)
Thus, option (B) is correct.