Answer:
[tex]A=53.13\°[/tex]
Step-by-step explanation:
The figure shows a right triangle.
To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:
[tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex]
Identify the angle [tex]\alpha[/tex], the opposite side and the adjacent side:
[tex]\alpha=A\\opposite=4cm\\adjacent=3cm[/tex]
Substitute into [tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex].
The measure of the angle A is:
[tex]A=arctan(\frac{4}{3})\\\\A=53.130\°[/tex]
Rounded to the nerarest hundreth:
[tex]A=53.13\°[/tex]
