Respuesta :

Answer:

? ≈ 52.3°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{24}[/tex] , thus

? = [tex]sin^{-1}[/tex] ([tex]\frac{19}{24}[/tex] ) ≈ 52.3° ( to the nearest tenth )

Answer:

≈ 52.3

Step-by-step explanation:

You are given the opposite and hypotenuse side, leading you to use sin. However, since you're trying to find the angle measurement, you use the inverse of sin: [tex]sin^-1[/tex]

Set it up like this:

[tex]sin^-1(\frac{19}{24}) = ?[/tex]

When you solve, you get:

52.34

Round to the nearest tenth:

52.3