For the given triangle, the tan of angle A equals [tex]\frac{3}{4} = 0.75.[/tex]
Step-by-step explanation:
Step 1:
In the given triangle for angle A, the opposite side has a length of 6 cm, the adjacent side has a length of 8 cm while the hypotenuse of the triangle measures 10 cm. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
[tex]tan A = \frac{oppositeside}{adjacent side}.[/tex]
Step 2:
The opposite side's length = 6 cm.
The adjacent side's length = 8 cm.
[tex]tan A = \frac{oppositeside}{adjacent side} = \frac{6}{8} = \frac{3}{4} = 0.75.[/tex]
