Answer:
option (c) is correct.
\(\sin x=\dfrac{12}{13}\)
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 ,
\(\sin\theta=\dfrac{Perpendicular}{Hypotenuse}\)
Here, \(\theta=x\)
and for x to be angle, perpendicular is AB and hypotenuse is AC.
\(\sin x=\dfrac{AB}{AC}\)
Substitute the values, we get,
\(\sin x=\dfrac{12}{13}\)
Thus, option (c) is correct.
