Given: A right triangle with dimensions as shown in the figure
To Determine: The ratio for sin A and cos A
Solution
Given a right triangle ABC with a reference angle A, the trigonometry ratio is
[tex]\begin{gathered} sinA=\frac{opposite}{hypothenuse} \\ cosA=\frac{adjacent}{hypothenuse} \\ tanA=\frac{opposite}{adjacent} \end{gathered}[/tex]
From the given right triangle with reference angle A, the hypothenuse is the side facing the right angle. The side facing angle A is the opposite, and the other side is adjacent. This is as shown below
Hence
[tex]\begin{gathered} sinA=\frac{24}{26} \\ cosA=\frac{10}{26} \end{gathered}[/tex]
OPTION A is the correct option
