Questions: Find BC. Write your answer as an integer or as a decimal rounded to the nearest tenth. BC=

Find BC. Write your answer as an integer or as a decimal rounded to the nearest tenth. BC=
Transcript text: Find $B C$. Write your answer as an integer or as a decimal rounded to th \[ B C= \]
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Solution

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Solution Steps

Step 1: Identify the knowns and determine the appropriate trigonometric ratio

We are given the length of the side adjacent to the 23° angle (AC = 9.4) and we need to find the length of the hypotenuse (BC). The cosine function relates the adjacent side and the hypotenuse.

Step 2: Set up the equation

cos(23°) = adjacent/hypotenuse = AC/BC = 9.4/BC

Step 3: Solve for BC

BC = 9.4 / cos(23°)

Step 4: Calculate BC

BC ≈ 9.4 / 0.9205 ≈ 10.21

Final Answer:

BC ≈ 10.2

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