Answer:
option (c) is correct.
[tex]\sin x=\dfrac{12}{13}[/tex]
Step-by-step explanation:
Given a triangle with base 12 cm , perpendicular = 5 cm and hypotenuse = 13 cm
We have to find the value of sin x° and choose the correct option.
Lets first name the given triangle as ΔABC, as shown in figure below.
We know the value of trigonometric ratio sine is ,
[tex]\sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Here, [tex]\theta=x[/tex]
and for x to be angle, perpendicular is AB and hypotenuse is AC.
[tex]\sin x=\dfrac{AB}{AC}[/tex]
Substitute the values, we get,
[tex]\sin x=\dfrac{12}{13}[/tex]
Thus, option (c) is correct.
