Answer:
x = 63.5°
Step-by-step explanation:
To find the value of x in the given right triangle, we would apply trigonometric function.
Reference angle = x
Side length Opposite to x = 17
Hypotenuse length = 19
Apply SOH:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
[tex] sin(x) = \frac{17}{19} [/tex]
[tex] x = sin^{-1}(\frac{17}{19}) [/tex]
x = 63.474648° ≈ 63.5° (nearest tenth)
