Answer:
0.33 radians.
Step-by-step explanation:
We have been given an equation [tex]\text{tan}(B)=0.34[/tex]. We are asked to find the measure of angle B is radians.
First of all, we will find measure of angle B using inverse tangent or arctan as:
[tex]B=\text{tan}^{-1}(0.34)[/tex]
[tex]B=18.778033222446^{\circ}[/tex]
Now, we will convert our answer in radians by multiplying 18.778033222446 by [tex]\frac{\pi}{180^{\circ}}[/tex] as:
[tex]B=18.778033222446^{\circ}\times\frac{\pi}{180^{\circ}}[/tex]
[tex]B=18.778033222446\times\frac{\pi}{180}[/tex]
[tex]B=0.10432240679\times\pi[/tex]
[tex]B=0.32773850678[/tex]
[tex]B\approx 0.33[/tex]
Therefore, the measure of angle B is 0.33 radians.
