Question

use the inverse of cosine to find the indicated missing angle. round your answer to the nearest tenth.

hypotenuse = 50

adjacent = 27

Answer 1

wrong

Answer 2

To find the missing angle using the cosine function, we can use the relationship:

\[
\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}
\]

Using the values provided:
\[
\cos(\theta) = \frac{27}{50}
\]

Next, we'll use the inverse cosine function to find the angle \( \theta \):

\[
\theta = \cos^{-1}\left(\frac{27}{50}\right)
\]

Calculating this using a calculator:

1. First, compute \( \frac{27}{50} \), which is \( 0.54 \).
2. Then, take the inverse cosine:

\[
\theta = \cos^{-1}(0.54) \approx 57.1^\circ
\]

So, the missing angle \( \theta \) is approximately **57.1 degrees** when rounded to the nearest tenth.