Incomplete Question the complete Question with figure is below.
Answer:
Therefore the length of line Segment BC is 20.5 in.
Step-by-step explanation:
Given:
In Right Angle Triangle ABC
∠C = 90°
∠B = 35°
BC = a
AB = hypotenuse = 25
[tex]\cos 35\°=\dfrac{a}{25}[/tex]
To Find:
BC = ?
Solution:
In Right Angle Triangle ABC , Using Cosine Identity we get
[tex]\cos B = \dfrac{\textrm{side adjacent to angle B}}{Hypotenuse}\\[/tex]
Substituting we get
[tex]\cos 35 = \dfrac{a}{25}\\\\a=25\times 0.8191=20.47\\\\a=20.5\ in[/tex]
Therefore the length of line Segment BC is 20.5 in.
