In a right triangle, the side adjacent angle a is 12, the
hypotenuse is 24. what is the tangent of the angle a?

Respuesta :

Answer:

[tex]tan(a)=\frac{opposite}{adjacent}[/tex]

Step-by-step explanation:

In a right triangle, the side adjacent angle a is 12, the

hypotenuse is 24.

Angle 'a' is 12

hypotenuse is 24

[tex]sin(a)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(12)=\frac{opposite}{24}[/tex]

opposite side = 24 times sin(12)=5

[tex]cos(a)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(12)=\frac{adjacent}{24}[/tex]

adjacent side = 24 times cos(12)=23.5

[tex]tan(a)=\frac{opposite}{adjacent}[/tex]

[tex]tan(a)=\frac{5}{23.5}[/tex]