89.7k views
4 votes
In ABC, what is the value of cos B?

In ABC, what is the value of cos B?-example-1
User Denis K
by
4.8k points

2 Answers

7 votes
Hey and thanks for giving me the chance to serve u_______________________________________

it is c
hope this helped
User Ume
by
5.4k points
4 votes

Answer: The correct option is

(B)
(12)/(13).

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).

Thus, option (B) is correct.

User Agop
by
5.3k points