Respuesta :

Answer:

AC=8.24

Step-by-step explanation:

In the figure given in the question we have to find AC.

Given:

BC=3

∠B=70° and

ΔACB is right-angled at C.

The best way to find the answer is by using trigonometry.

We know that tan of an angle is [tex]\frac{opposite\ side}{adjacent\ side}[/tex].

tan∠B = [tex]\frac{AC}{BC}[/tex]

AC = BCtan70°=3×tan70°

AC = 8.24 (rounding off to nearest hundredth).