Respuesta :

Answer:

[tex]\tan \angle A[/tex]= [tex]1.33[/tex]

[tex]\tan \angle B[/tex] = [tex]0.75[/tex]

Step-by-step explanation:

Given:

[tex]\triangle ABC[/tex] is a right triangle.

[tex]\angle ACB = 90\°[/tex]

To find:

[tex]\tan \angle A[/tex]

[tex]\tan \angle B[/tex]

We know that tangent of an angle is given by the ratio= [tex]\frac{Opposite\ side}{Adjacent\ side}[/tex]

The opposite side and adjacent side is taken with respect to the angle for which the tangent is to be found.

[tex]\tan \angle A[/tex]= [tex]\frac{BC}{AC}=\frac{4}{3}=1.33[/tex]

[tex]\tan \angle B[/tex]= [tex]\frac{AC}{BC}=\frac{3}{4}=0.75[/tex]