Question

Find the length x to the nearest whole number.
41 degrees
22 degrees
528
x

Answer 1

I need to know which side 528 is opposite. Common interpretation: 528 is opposite the 41° angle and x is opposite the 22° angle. Using the Law of Sines:

x / sin(22°) = 528 / sin(41°)
x = 528 · sin(22°) / sin(41°) ≈ 528 · 0.3746066 / 0.6560590 ≈ 301.49

So x ≈ 301 (nearest whole number).

(If instead 528 were opposite 22° and x opposite 41°, then x = 528·sin(41°)/sin(22°) ≈ 925.)