Respuesta :
Right angle triangle is the triangle in which the measure of the one angle is equals to the 90 degrees.
The option A is the correct option, which is,
[tex]\sin50=\dfrac{3}{c} \\[/tex]
Given information-
The value of the angle of the and side of a right angle triangle are shown in the figure.
What is right angle triangle?
Right angle triangle is the triangle in which the measure of the one angle is equals to the 90 degrees.
In the given right angle the value of the sin theta is equal to the ratio of the the length of the opposite side AC to the length of the hypotenuse AB.
As the length of the segment AC is 3 units and the length of the segment AB is c units given in the figure.Thus,
[tex]\sin50=\dfrac{AC}{AB} \\ \sin50=\dfrac{3}{c} \\ [/tex]
In the given right angle the value of the cos theta is equal to the ratio of the the length of the base BC to the length of the hypotenuse AB. thus,
[tex]\cos50=\dfrac{BC}{AB} \\\cos50=\dfrac{a}{c} \\[/tex]
Thus the option A is the correct option, which is,
[tex]\sin50=\dfrac{3}{c} \\[/tex]
Learn more about the right angle triangle here;
https://brainly.com/question/3770177
