Tan B = .34 find angle B in radians. Round your answer to the nearest hundredth.

Question

asked Nov 20, 2018 226k views

2 Answers

Ayengin · Answer 1 · 2018-11-25T05:06:47+0000

Answer:

0.33 radians.

Explanation:

We have been given an equation
$\text{tan}(B)=0.34$ . 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:

$B=\text{tan}^(-1)(0.34)$

$B=18.778033222446^(\circ)$

Now, we will convert our answer in radians by multiplying 18.778033222446 by
$(\pi)/(180^(\circ))$ as:

$B=18.778033222446^(\circ)*(\pi)/(180^(\circ))$

$B=18.778033222446*(\pi)/(180)$

$B=0.10432240679*\pi$

B=0.32773850678

$B\approx 0.33$

Therefore, the measure of angle B is 0.33 radians.