Question

B
20
C
A
25
Use the inverse of the tangent ratio to find the approximate measure of angle B
. Round your answer to the nearest whole degree.

(1 point)
The approximate measure of angle B
is
°.

Answer 1

To find the approximate measure of angle B using the inverse tangent (arctan), we need to know the relationship between the side lengths associated with angle B. Typically, the tangent of angle B is defined as the ratio of the opposite side to the adjacent side.

Let's assume from your data:

- The side opposite angle B = 20
- The side adjacent to angle B = 25

We can use the formula:

\[
\tan(B) = \frac{\text{opposite}}{\text{adjacent}} = \frac{20}{25}
\]

Now we calculate the tangent of angle B:

\[
\tan(B) = \frac{20}{25} = 0.8
\]

To find angle B, we will take the arctan (inverse tangent) of 0.8:

\[
B = \arctan(0.8)
\]

Using a calculator to find the angle in degrees:

\[
B \approx 38.66^\circ
\]

Rounding to the nearest whole degree:

The approximate measure of angle B is **39°**.