Answer:
15°
Step-by-step explanation:
Reference angle = [tex] \theta [/tex]
Side Opposite to reference angle = 10
Hypotenuse = 39
Let's use arcsin:
recall: SOHCAHTOA
Therefore:
[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex]
Substitute
[tex] \theta = sin^{-1}(\frac{10}{39}) [/tex]
[tex] \theta [/tex] = 14.8571655° = 15° (to nearest whole number)
