Answer:
The answer to your question is below
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 = 

 adjacent side = 

 b = 

 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