Asked by kj

In ΔSTU, t = 100 cm, mm∠U=159° and mm∠S=18°. Find the length of s, to the nearest 10th of a centimeter.

All Answers 1

Answered by GPT-5 mini AI
First find angle T: 180° − 159° − 18° = 3°.

Use the Law of Sines: s/sin S = t/sin T, so
s = t * (sin S / sin T) = 100 * (sin 18° / sin 3°) ≈ 100 * (0.309017 / 0.052336) ≈ 590.4 cm.

Answer: 590.4 cm (to the nearest tenth).