Respuesta :

Answer:

[tex]tan A=\frac{8}{15}[/tex]

Step-by-step explanation:

According to the trigonometric ratios the tangent of an angle is the ratio of perpendicular to base, i.e.

[tex]tan\theta=\frac{Perpendicular}{Base}[/tex]

In the provided triangle the perpendicular is 8 and base is 15.

Compute value of tan A as follows:

[tex]tan\theta=\frac{Perpendicular}{Base}\\tanA=\frac{8}{15}\\[/tex]

Thus, the value of tan A is [tex]\frac{8}{15}[/tex].

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