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

User Tonya
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Final answer:

To find the length of side j in triangle IJK, we can use the law of sines. Using the given values, the length of j is approximately 644.3 inches.

Step-by-step explanation:

To find the length of side j in triangle IJK, we can use the law of sines. The law of sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides and their opposite angles.

Using this formula, we can write:

j / sin(86°) = k / sin(29°)

Substituting the given values, we get:

j / sin(86°) = 590 / sin(29°)

Solving for j, we have:

j = (590 * sin(86°)) / sin(29°)

Calculating the value, j is approximately 644.3 inches to the nearest 10th of an inch.

User Serge Pavlov
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