Questions: Find the length of side x to the nearest tenth.

Find the length of side x to the nearest tenth.
Transcript text: Find the length of side $x$ to the nearest tenth.
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Solution

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Solution Steps

Step 1: Identify the given information

We are given a right triangle with hypotenuse 12 and an angle of 30 degrees. We are asked to find the length of the side adjacent to the 30-degree angle, which is denoted by x.

Step 2: Use the cosine function

We can use the cosine function to relate the adjacent side (x), the hypotenuse (12), and the angle (30 degrees): cos(30°) = adjacent/hypotenuse = x/12

Step 3: Solve for x

Multiply both sides of the equation by 12: x = 12 * cos(30°) x = 12 * (√3/2) x = 6√3 x ≈ 10.4

Final Answer

10.4

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