Respuesta :

Answer:

0.5236 radians or 30 degrees

Step-by-step explanation:

We want to find the angle based on the opposite side and the hypotenuse.  Therefore, we need to use the inverse sine function:

Θ = sin[tex]^{-1} (\frac{5}{10})[/tex]

Simplifying the function, we get:

Θ = sin[tex]^{-1} (\frac{1}{2})[/tex]

Inputting this into a calculator, we get Θ = 0.5236 radians or 30 degrees.

Step-by-step explanation:

sin θ = 5cm/10cm

sin θ = ½

sin θ = sin 30°

therefore, θ = 30°.

hope this helps you.

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