Question

Given cos B = 11/18 find angle B in degrees. Round your answer to the nearest hundredth.

Answer 1

`B = cos^(-1)((11)/(18)) \approx 52.33^\circ`

Answer 2

`B\approx 52.33^(\circ)`

Explanation:

We have been given that
`\text{cos}(B)=(11)/(18)`. We are asked to find the measure of angle B.

We will use inverse cosine or arccos to solve for the measure of angle B as:

`B=\text{cos}^(-1)((11)/(18))`

`B=52.33011303567^(\circ)`

Upon rounding our answer to nearest hundredth, we will get:

`B\approx 52.33^(\circ)`

Therefore, the measure of angle B is 52.33 degrees.