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Numenius

The formula for tangent is,

[tex] tan \theta=\frac{Opposite side}{Adjacent side} [/tex]

In the given triangle ABC, BC is the opposite side and AC is the adjacent side. So,

[tex] tan A=\frac{BC}{AC} [/tex]

[tex] tan A=\frac{7}{24} [/tex]

So, C is the correct choice.

The given triangle is a right triangle which is right angled at angle C.

For angle A the adjacent side is AC,the opposite side is BC while hypotenuse is AB .In the given triangle adjacent =24 ,opposite =7 and hypotenuse =25.

Tan of any angle is the ratio of opposite and adjacent .

Tan =[tex] \frac{opposite}{adjacent} [/tex]

Tan A=[tex] \frac{7}{24} [/tex]

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