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.