Answer:
[tex]211^{\circ}59'24''[/tex].
Step-by-step explanation:
We have been given radians measure of an angle. We are asked to find the degree measure of the same angle.
To find the degree measure of the angle, we will multiply radian measure of the given angle by [tex]\frac{180}{\pi}[/tex].
[tex]3.7\times \frac{180}{\pi}[/tex]
[tex]\frac{3.7\times 180}{\pi}[/tex]
[tex]\frac{666}{\pi}[/tex]
[tex]211.994384^{\circ}[/tex]
Now, we will convert 0.99 to minutes by multiplying by 60.
[tex]0.99\times 60=59.4\text{ minutes}[/tex]
Now, we will convert 0.4 minutes to seconds by multiplying by 60.
[tex]0.4\times 60=24\text{ seconds}[/tex]
Therefore, the DMS measure of our given angle would be [tex]211^{\circ}59'24''[/tex].
