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)

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°) ≈ 28·0.88295/0.46947 ≈ 52.66 m.
Rounded to the nearest meter: 53 m.