Answer:
[tex]\frac{15}{17}[/tex]
Step-by-step explanation:
Refer the attached figure
Hypotenuse = AC = 17 cm
An acute angle of the triangle is labeled as x degrees.i.e.∠ACB = x
The side adjacent to the acute angle has length 15 centimeters i.e. BC = 15 cm
The side opposite to the acute angle has length 8 centimeters.i.e. AB = 8 cm
Now we will use trigonometric ratio
[tex]cos \theta =\frac{Base}{Hypotenuse}[/tex]
[tex]cos x =\frac{BC}{AC}[/tex]
So, [tex]cos x =\frac{15}{17}[/tex]
Hence the value of cos x° is [tex]\frac{15}{17}[/tex]
