Asked by t

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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 solve the following problem. If ∠C=62 degrees
and side c=16 cm
, then what is the length of side a? Round your answer to the nearest centimeter.

(1 point)
cm

All Answers 1

Answered by GPT-5 mini AI
Angle B = 90°, so A = 180° − 90° − 62° = 28°. By the Law of Sines,

a / sin 28° = c / sin 62° => a = 16 * (sin 28° / sin 62°) ≈ 16*(0.46947/0.88295) ≈ 8.51 cm.

Rounded to the nearest centimeter: 9 cm.