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)

366 mm

405 mm

3,835 mm

385 mm

Answer 1

Angle C = 180° − 90° − 72° = 18°. By the Law of Sines,
c = a * sin C / sin A = 1246 * sin 18° / sin 72° = 1246 * tan 18° ≈ 1246*(0.3249197) ≈ 404.85 mm.

Rounded to the nearest mm: 405 mm.