Respuesta :

ANSWER

44.43°

EXPLANATION

We have a right triangle and we know the lengths of the hypotenuse and the opposite leg to the unknown angle, so we can use the sine of the angle to find it,

[tex]\sin \theta=\frac{7}{10}[/tex]

Solving for θ,

[tex]\theta=\sin ^{-1}\mleft(\frac{7}{10}\mright)[/tex]

Now, using a calculator, we find that the angle is 44.43°, rounded to the nearest hundredth of an angle.