Question

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 DescThe 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=35 degrees and side c=42 yd. , how long is side a to the nearest yard?(1 point)60 yd.64 yd.43 yd.29 yd.

Answer 1

In the right triangle B = 90°, so A = 90° − C = 55°. By the Law of Sines,
a/sin A = c/sin C, so a = c * (sin A / sin C) = 42 * (sin 55° / sin 35°) ≈ 60 yd.

Answer: 60 yd.