Question

The adjacent side, from angle upper A to angle upper B, is labeled as lowercase c. The hypotenuse, from angle upper A to angle upper C, is labeled as lowercase b. The opposite side, from angle upper B to angle upper C, is labeled as lowercase a.


Use the Law of Sines to solve the following problem. If ∠C=62 degrees
∠
𝐶
=
62

degrees
and side c=16 cm
𝑐
=
16

cm
, then what is the length of side a? Round your answer to the nearest centimeter.

(1 point)
cm

Answer 1

Angle A = 180° − 90° − 62° = 28°. By the Law of Sines,
a / sin A = c / sin C, so
a = c * sin A / sin C = 16 * sin(28°) / sin(62°) ≈ 16 * 0.4695 / 0.8830 ≈ 8.51 cm.

Rounded to the nearest centimeter: 9 cm.