Answer:
x = 22.6°
y = 12
Step-by-step explanation:
✔️Find x using trigonometric ratio formula:
Reference angle = x
Opposite side to x = 5
Hypotenuse = 13
Thus:
[tex] sin(x) = \frac{5}{13} [/tex]
[tex] x = sin^{-1}(\frac{5}{13}) [/tex]
[tex] x = 22.6 degrees [/tex] (nearest tenth)
✔️Find y using Pythagorean Theorem:
Thus:
y² = 13² - 5²
y² = 144
y = √144
y = 12
