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4 years ago

What is measure of angle A?

Mathematics

1 answer:

Goryan [66]4 years ago

4 0

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:

$A=53.13\°$

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