Respuesta :

sin = o/h = 5/13
cos = a/h = 12/13
tan = o/a = 5/12

o - opposite
a- adjacent
h - hypotenuse 

Answer:

Step-by-step explanation:

The right angled triangle is given whose altitude is equal to 5, hypotenuse is equal to 13 and base is equal to 12.

Now, the trigonometric ratios are given as:

[tex]sin{\theta}=\frac{Perpendicular}{Hypotenuse}[/tex]

Substituting the given values. we get

[tex]sin{\theta}=\frac{5}{13}[/tex]

And, [tex]cos{\theta}=\frac{Base}{Hypotenuse}[/tex]

Substituting the given values. we get

[tex]cos{\theta}=\frac{12}{13}[/tex]

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

Substituting the given values. we get

[tex]tan{\theta}=\frac{5}{12}[/tex]

which are the required trigonometric ratios.

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