The side BC is 20.5 inches.
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
[tex]\rm cos 35^o = \dfrac{a}{25}[/tex] is an equation.
The length of Line segment BC.
In right-angle ΔABC, BC = a.
Then by the equation, a will be.
a = cos 35° x 25
a = 0.819 x 25
a = 20.48 ≈ 20.5
Thus the side BC is 20.5 inches.
More about the trigonometry link is given below.
https://brainly.com/question/13710437