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 find the length of side c, to the nearest millimeter, if ∠A=72 degrees
∠
𝐴
=
72

degrees
and side a=1,246 mm
𝑎
=
1
,
246

mm
.

(1 point)
Responses

366 mm
366 mm

385 mm
385 mm

3,835 mm
3,835 mm

405 mm
405 mm

Answer 1

Use the Law of Sines. With B = 90° and A = 72°, C = 18°. So

c = a * sin C / sin A = 1246 * sin 18° / sin 72° = 1246 * tan 18° ≈ 404.23 mm.

Rounded to the nearest provided choice, select 405 mm.