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To solve this problem, we can use trigonometric functions. The given right triangle has an angle of \(31^\circ\), the hypotenuse (18), and we are asked to find the adjacent side, \(x\).

Since we know the angle and the hypotenuse, we can use the cosine function:

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

\[
\cos(31^\circ) = \frac{x}{18}
\]

Now, solving for \(x\):

\[
x = 18 \times \cos(31^\circ)
\]

I'll calculate this for you.The length of the missing side \(x\) is approximately \(15.4\) units, rounded to the nearest tenth.

Would you like further details or explanations?

Here are some related questions you might find helpful:
1. How can I solve for the opposite side using sine?
2. What are the other trigonometric ratios for this triangle?
3. How do you solve a triangle with two known sides and an angle?
4. What is the relationship between the sine and cosine of complementary angles?
5. How can I use the Pythagorean theorem in this case?

**Tip:** For angle problems, it's often helpful to remember which trigonometric function relates the known sides and the angle.

Find the missing side of the triangle with a 31° angle and hypotenuse of 18. Round to the nearest tenth.

Solve a trigonometry problem involving a right triangle with a 31° angle and a hypotenuse of 18. Learn how to find the missing adjacent side using the cosine function. Suitable for students in Grades 9-11.

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