Answer:
25.43
Step-by-step explanation:
To find segment BC, we can use trigonometric ratios in a right triangle.
Given:
Angle C measure is 12 degrees.
Segment AC equals 26 units.
We want to find segment BC.
Since we know the adjacent side and the angle, we can use the cosine function:
cos
(
angle
)
=
adjacent
hypotenuse
cos(angle)=
hypotenuse
adjacent
Substituting the given values:
cos
(
1
2
∘
)
=
26
cos(12
∘
)=
26
BC
Now, we solve for BC:
=
26
×
cos
(
1
2
∘
)
BC=26×cos(12
∘
)
Using a calculator:
≈
26
×
0.978
BC≈26×0.978
≈
25.428
BC≈25.428
So, segment BC is approximately 25.43 units.
The closest option is 25.43.