Question

Find the measure of θ
. Round your answer to the nearest tenth. (one decimal place)
13
12
(1 point)
The measure of θ
is
degrees

Answer 1

To find the measure of \( \theta \) given the values 13 and 12, I'm assuming this represents a right triangle where 13 is the hypotenuse and 12 is one of the legs (adjacent side).

You can use the cosine function to find \( \theta \):

\[
\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{12}{13}
\]

Now, to find \( \theta \):

\[
\theta = \cos^{-1}\left(\frac{12}{13}\right)
\]

Now, calculate \( \theta \):

1. **Calculate \( \frac{12}{13} \)**:
\[
\frac{12}{13} \approx 0.9231
\]

2. **Find \( \theta \)** using a calculator (make sure it's set to degrees):
\[
\theta \approx \cos^{-1}(0.9231) \approx 22.6^\circ
\]

Thus, the measure of \( \theta \) is approximately **22.6 degrees** when rounded to one decimal place.