Question

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The Law of Sines Quick Check
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Use the image to answer the question.

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.
▼Click for Long Desc
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=28 degrees
and side c=28 m
, then what is the length of side a to the nearest meter?

(1 point)

15 m


25 m


62 m


53 m

Answer 1

Angle A = 90° − 28° = 62°. By the Law of Sines,
a / sin(62°) = c / sin(28°),
so a = c · sin(62°) / sin(28°) = 28 · sin(62°)/sin(28°) ≈ 52.6 m ≈ 53 m.

Answer: 53 m.