Questions: Find the length of side "j" in the following figure:

Find the length of side "j" in the following figure:
Transcript text: Find the length of side "j" in the following figure:
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Solution

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Solution Steps

Step 1: Find the missing angle

The sum of angles in a triangle is 180°. We have two angles, 40° and 58°, so the third angle (K) is 180° - 40° - 58° = 82°.

Step 2: Use the Law of Sines

We can use the Law of Sines to find side _j_. The Law of Sines states: a/sin(A) = b/sin(B) = c/sin(C). In our case, we have: j/sin(40°) = 25/sin(82°)

Step 3: Solve for j

j = 25 * sin(40°) / sin(82°) j ≈ 25 * 0.6428 / 0.9903 j ≈ 16.23

Final Answer

16.23

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