Answer:
The Correct option is A. [tex]\dfrac{5}{13}[/tex]
Therefore the value of Cos ∠C is
[tex]\cos \angle C = \dfrac{5}{13}[/tex]
Step-by-step explanation:
Given:
In Right Angle Triangle ABC
∠B = 90°
BC = 10 ...Adjacent Side to Angle C.
AC = 26 ...Hypotenuse
To Find:
Cos C =?
Solution:
In Right Angle Triangle ABC , By Cosine Identity we have
[tex]\cos C = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\[/tex]
Substituting the values we get
[tex]\cos C = \dfrac{BC}{AC}=\dfrac{10}{26}=\dfrac{5}{13}[/tex]
Therefore the value of Cos ∠C is
[tex]\cos \angle C = \dfrac{5}{13}[/tex]
