Question

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

hypotenuse = 12
adjacent = 9

Answer 1

To find the missing angle using the cosine function, you can use the formula:

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

Given:
- Hypotenuse = 12
- Adjacent = 9

You can plug these values into the formula:

\[
\cos(\theta) = \frac{9}{12} = 0.75
\]

Now, to find the angle \(\theta\), use the inverse cosine function:

\[
\theta = \cos^{-1}(0.75)
\]

Using a calculator, you can find:

\[
\theta \approx 41.4^\circ
\]

Therefore, the missing angle rounded to the nearest tenth is:

\[
\theta \approx 41.4^\circ
\]