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If you draw a line perpendicular to side c and intersecting the vertex of angle C, you make two right triangles. Let's call the perpendicular segment side d.

Now the sinB = d/a, so d = a sinB = 24 * sin87° ≈ 23.967.

SinA = d/b, so b = d ÷ sinA = 23.967 ÷ sin42° ≈ 36.

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Q: What is the length of side b to the nearest whole number if side a 24 and angle A 42 degrees and angle B 87 degrees?
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