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 solve the following problem. If ∠C=28 degrees
and side c=28 m
, then what is the length of side a to the nearest meter?

(1 point)
Responses

62 m
62 m

25 m
25 m

53 m
53 m

15 m

Answer 1

Angle B = 90°, so A = 90° − 28° = 62°. By the Law of Sines,
a/sin A = c/sin C ⇒ a = c * (sin A / sin C) = 28 * (sin 62° / sin 28°) ≈ 28 * 1.88 ≈ 52.7 m.
Rounded to the nearest meter: 53 m.