Answer:
16°
Step-by-step explanation:
Reference angle = [tex] \theta [/tex]
Side Opposite to reference angle = 14
Adjacent side = 48
Hypotenuse = 50
Let's apply arcsin:
Thus:
[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)
Plug in the values
[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]
[tex] \theta [/tex] = 16.2602047° = 16°
