The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cos(C) is 15/17. Thus, the correct option is B.
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
For the ∠C the base side will be BC, while the hypotenuse will be 17. Therefore, the value of Cos(C) can be written as,
Cos(∠C) = 15/17
Hence, the value of Cos(C) is 15/17. Thus, the correct option is B.
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