Question

Find the length x to the nearest whole number.
26 degrees
49 degrees
350
x

Answer 1

I need to know which side goes with which angle (i.e. the diagram). Using the Law of Sines there are two natural interpretations:

1) If the side 350 is opposite the 26° angle and x is opposite the 49° angle:
x = 350·sin(49°)/sin(26°) ≈ 350·(0.75471)/(0.43837) ≈ 602.74 → 603 (nearest whole number).

2) If the side 350 is opposite the 49° angle and x is opposite the 26° angle:
x = 350·sin(26°)/sin(49°) ≈ 350·(0.43837)/(0.75471) ≈ 203.17 → 203 (nearest whole number).

Tell me which side is opposite which angle (or paste the diagram) and I’ll confirm the correct value.