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n200080 [17]
3 years ago
11

What is measure of angle A?

Mathematics
1 answer:
Goryan [66]3 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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