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.