T H E U N K N O W N

In order to find the unknown side or angle you must have a scientific calculator. Ensure that your scientific calculator is in degree mode.
To find the unknown side:

We first decide which of the trigonometric ratios must be used; In this problem we must use the sinθ ratio since the opposite side (O) and the hypotenuse (H) are involved.

We then multiply both sides by 41 and evaluate using the calculator.



sin 25° = x / 41

 x = 41 sin 25° 
      
    =17.33           





To find the unknown angle:

Just like finding out the unknown side we must first decide which of the trigonometric must be used; In this problem we must use the tanθ ratio since the opposite side (O) and the adjacent side (A) are given.

We then use the inverse tangent key on your calculator 

  
    
      tan θ = 16/22
       
      θ = 36.027.....°
      
      θ = 36°

- k.v.