Question

Use the image to answer the question.

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.
▶Click for Long Desc

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 B = 90°, so C = 90° − A = 18°. By the Law of Sines,
c = a * sin(C)/sin(A) = 1246 * sin(18°)/sin(72°) = 1246 * tan(18°) ≈ 1246 * 0.3247 ≈ 405 mm.

Answer: 405 mm.