Answer:
47°
Step-by-step explanation:
We are given a right angles triangle having the base length = 267 unit and hypotenuse = 391 unit.
Now, using the trigonometric forms of angles in a right triangle.
We have, [tex]\cos A=\frac{adjacent}{hypotenuse}[/tex]
i.e. [tex]\cos A=\frac{267}{391}[/tex]
i.e. [tex]\cos A=0.683[/tex]
i.e. [tex]A=\arccos 0.683[/tex]
i.e. A = 46.92°
Hence, the value of A to the nearest degree is 47°
