Respuesta :

For this case we have that by definition of trigonometric relations of rectangular triangles, that the tangent of an angle is given by the opposite leg to the angle on the leg adjacent to the angle. So:

[tex]tg (B) = \frac {16} {7}\\tg (B) = 2.2857[/tex]

Rounding the value we have 2.29

Answer:

Option D

ANSWER

D 2.29

EXPLANATION

The tangent ratio, is the ratio of the opposite side to the adjacent side.

The side adjacent to angle B is 7 units.

The side opposite to angle B is 16 units.

This implies that:

[tex] \tan(B) = \frac{16}{7} [/tex]

[tex]\tan(B) =2.29[/tex]

The correct answer is D.