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 ∠A=55 degrees
and side a=450 km
, then find the length of side c to the nearest kilometer.

(1 point)
km

Answer 1

Angle B = 90°, so C = 90° − A = 35°. By the Law of Sines:

a/sin A = c/sin C → c = a (sin C / sin A)

c = 450 * (sin 35° / sin 55°) ≈ 450 * 0.700207 ≈ 315.1

Rounded to the nearest kilometer: 315 km.