Answer :

To convert an angle from radians to degrees, we use the conversion factor

[tex]$$
\frac{180^\circ}{\pi}.
$$[/tex]

In this problem, we start with the radian measure

[tex]$$
1.57 \text{ radians}.
$$[/tex]

The conversion to degrees is done by multiplying by the conversion factor:

[tex]$$
1.57 \cdot \frac{180^\circ}{\pi}.
$$[/tex]

Step by step:

1. Write the expression:

[tex]$$
1.57 \cdot \frac{180^\circ}{\pi}.
$$[/tex]

2. Recognize that the conversion factor evaluates approximately to

[tex]$$
\frac{180^\circ}{\pi} \approx 57.29577951308232.
$$[/tex]

3. Multiply the radian measure by the conversion factor:

[tex]$$
1.57 \cdot 57.29577951308232 \approx 89.95437383553924.
$$[/tex]

Thus, the final result in degrees is approximately

[tex]$$
89.95^\circ.
$$[/tex]

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