What is measure of angle A? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Question

asked Dec 25, 2020 230k views

2 Answers

Sreyas · Answer 1 · 2020-12-30T21:25:48+0000

Answer:

$A=53.13\°$

Explanation:

The figure shows a right triangle.

To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

$\alpha=arctan((opposite)/(adjacent))$

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

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

Substitute into
$\alpha=arctan((opposite)/(adjacent))$ .

The measure of the angle A is:

$A=arctan((4)/(3))\\\\A=53.130\°$

Rounded to the nerarest hundreth:

$A=53.13\°$