Question

If triangle ABC with the right angle at CFC equals six and eight equals 410 COSA equals

Answer 1

Representing the information in a diagram, we have:

The given sides are hypotenuse=6 and opposite=4.

The trigonometry ratio Cos is given as:

`\text{Cos A=}\frac{Adjacent}{\text{Hypotenuse}}`

We will use the pythagoras theorem to obtain the adjacent side.

Thus, we have:

`\begin{gathered} H^2=A^2+O^2 \\ 6^2=A^2+4^2 \\ 36=A^2+16 \\ 36-16=A^2 \\ 20=A^2 \\ A=\sqrt[]{20} \\ A=4.472 \end{gathered}`

The Cos A is :

`\begin{gathered} \text{Cos A=}\frac{Adjacent}{\text{Hypotenuse}} \\ \text{Cos }A=(4.472)/(6) \\ \text{Cos A=0.745} \end{gathered}`

Hence, Cos A is 0.745