Answer:
The answer to your question is below
Step-by-step explanation:
Solve the right triangle.
Process
1.- Find B
We know that C = 90° and that the sum of internal angles in a triangle equals 180°.
A + B + C = 180°
87°38' + B + 90 = 180
B = 180 - 87°38' - 90
B = 2.37°
2.- Find b
tan α = [tex]\frac{opposite side}{adjacent side}[/tex]
adjacent side = [tex]\frac{opposite side}{tan \alpha }[/tex]
b = [tex]\frac{5.81}{24.2}[/tex]
b = 0.24
3.- Find c
c² = a² + b²
c² = 5.81² + 0.24²
c² = 33.76 + 0.058
c² = 33.82
c = 5.82