Question

Please fully explain how to answer number 5 Thank you

Answer 1

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

`\begin{gathered} sinA=(opposite)/(hypothenuse) \\ cosA=(adjacent)/(hypothenuse) \\ tanA=(opposite)/(adjacent) \end{gathered}`

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

`\begin{gathered} sinA=(24)/(26) \\ cosA=(10)/(26) \end{gathered}`

OPTION A is the correct option