Question

HELP!!
Find x. Round to the nearest tenth.

Answer 1

31.9°

Explanation:

Applying the Law of Sines,

• A = 75°
• a = 22 cm
• B = x°
• b = 12 cm

⇒ sin75° / 22 = sin x° / 12

⇒ sin (45 + 30)° / 22 = sin x° / 12

⇒ (1/√2)(√3/2) + (1/√2)(1/2) / 22 = sin x° / 12

⇒ (1/√2)(√3 + 1 / 2) / 22 = sin x° / 12

⇒ 12 × (2.73/2.82) / 22 = sin x°

⇒ x = sin⁻¹ (0.529)

⇒ x = 31.9° (nearest tenth)