Answer:
8.6
Step-by-step explanation:
We use the sine function since side BC is opposite angle A.
By the definition, Sine function is the ratio of the opposite side to the hypotenuse of a right triangle.
Therefore,
sin
A
=
B
C
A
B
substituting the values
A
=
35
°
A
B
=
15
sin
35
°
=
B
C
15
multiply both sides of the equation by 15
and using reflexive property of equality
B
C
=
15
⋅
sin
35
°
B
C
=
8.6