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)

Answer 1

Since B = 90° and A = 55°, C = 35°. By the Law of Sines:

c = a * (sin C / sin A) = 450 * (sin 35° / sin 55°) ≈ 450 * 0.70021 ≈ 315.1 km.

To the nearest kilometer: 315 km.