Question

What is measure of angle A?

Answer 1

Answer:

$A=53.13\°$

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:

$\alpha=arctan(\frac{opposite}{adjacent})$

Identify the angle $\alpha$, the opposite side and the adjacent side:

$\alpha=A\\opposite=4cm\\adjacent=3cm$

Substitute into $\alpha=arctan(\frac{opposite}{adjacent})$.

The measure of the angle A is:

$A=arctan(\frac{4}{3})\\\\A=53.130\°$

Rounded to the nerarest hundreth:

$A=53.13\°$