Question

What is measure of angle A?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answer 1

The answer is m∠A = 53.13 °

Answer 2

`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\°`