Respuesta :

Answer:

34.60°

Step-by-step explanation:

[tex] \tan \theta = \frac {40}{58}[/tex]

[tex] \tan \theta = 0.689655172[/tex]

[tex] \theta =\tan^{-1} 0.689655172[/tex]

[tex] \theta =34.592288671\degree [/tex]

[tex] \theta =34.60\degree [/tex]

Answer:

[tex]\Large \boxed{\theta = 34.59228868\°}[/tex]

Step-by-step explanation:

tan(θ) = 40/58

To isolate theta (unknown angle), we must take the inverse tangent of both the sides.

tan^-1(tan(θ)) = tan^-1(40/58)

The inverse tangent and tangent cancels.

Simplify the equation.

θ =  tan^-1(20/29)

θ = 34.59228868°