Answer:
k ≈ 0.5 in
Explanation:
You want the measure of side k in ∆IJK with i = 2.1 in, J = 103°, K = 13°.
Law of sines
The angle opposite the side of interest is ...
I = 180° -J -K = 180° -103° -13° = 64°
The law of sines tells us side lengths are proportional to the sine of the opposite angle:
i/sin(I) = k/sin(K)
k = i·sin(K)/sin(I) = (2.1 in)·sin(13°)/sin(64°) ≈ 0.5 in
The length of k is about 0.5 inches.
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