Question

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Right triangle upper A upper B upper C has a small square box at angle B. The side opposite of each angle is labeled as the lowercase letter of the angle name.
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Use the Law of Sines to find the length of side c, to the nearest millimeter, if ∠A=72 degrees
and side a=1,246 mm
.

(1 point)

Answer 1

Angle B is 90°, so C = 90° − 72° = 18°. By the Law of Sines,
c / sin C = a / sin A, so c = a · (sin C / sin A) = 1246 · (sin 18° / sin 72°) ≈ 1246 · 0.324423 ≈ 404.231.

Rounded to the nearest millimeter: 404 mm.