Respuesta :

Tangent is the opposite divided by the adjacent.
Tan A = 12/21
Tan A = 0.5714
The answer is D.

Answer:

Option (d) is correct.

[tex]\tan A=0.5714[/tex]

Step-by-step explanation:

Given : A right angled triangle with given dimensions.

We have to find the value of  [tex]\tan A[/tex]

Consider the given right angled triangle.

Using trigonometric ratio,

The tangent of angle is the ratio of perpendicular to the base.

Mathematically written as   [tex]\tan\theta=\frac{Perpendicular}{base}[/tex]

For the given triangle

[tex]\theta=A[/tex] , base = 21 and perpendicular = 12

Substitute, we have,

[tex]\tan A=\frac{12}{21}[/tex]

Simplify, we have,

[tex]\tan A=0.5714[/tex]

Option (d) is correct.