Respuesta :

The side BC is 20.5 inches.

Trigonometry

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

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.

To find

The length of Line segment BC.

How to find 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