Questions: Trigonometric ratios: find an angle measure Find m ∠ X. Write your answer as an integer or as a decimal rounded to the nearest tenth. m ∠ X=

Trigonometric ratios: find an angle measure Find m ∠ X. Write your answer as an integer or as a decimal rounded to the nearest tenth. m ∠ X=
Transcript text: Trigonometric ratios: find an angle measure Find $m \angle X$. Write your answer as an integer or as a decimal rounded to the nearest tenth. \[ m \angle X= \]
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Solution

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Solution Steps

Step 1: Determine the relevant trigonometric ratio

We are given the lengths of the adjacent side (3) and the hypotenuse (7) with respect to the angle X. The relevant trigonometric ratio involving these sides is cosine: cos(X) = adjacent/hypotenuse.

Step 2: Set up the equation

cos(X) = 3/7

Step 3: Solve for X

X = arccos(3/7)

Step 4: Calculate and round

X ≈ 64.6 degrees

Final Answer:

The measure of angle X is approximately 64.6 degrees.

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