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In ΔIJK, k = 590 inches, ∠I=86° and ∠J=29°. Find the length of j, to the nearest 10th of an inch

2 Answers

4 votes

Answer:

580.4 inches.

Explanation:

To find the length of j, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal to the same ratio for another side and its opposite angle. That is,

j/sin(86°) = k/sin(29°)

Substituting the given values, we get:

j/sin(86°) = 590/sin(29°)

Multiplying both sides by sin(86°), we get:

j = 590*sin(86°)/sin(29°)

Using a calculator, we get:

j ≈ 580.3 inches

Rounding to the nearest tenth of an inch, we get:

j ≈ 580.3 ≈ 580.4 inches

Therefore, the length of j is approximately 580.4 inches.

User Alex Yursha
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3 votes

Answer:

Explanation:

315.6

User Mpdaly
by
8.6k points

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