Question

Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.

Answer 1

(D)

Use the law of sines:

• 13 / sin x = 12 / sin 67°
• sin x = 13 sin 67° / 12
• sin x = 0.997
• x = arcsin (0.997)
• x = 85.6°

(E)

Find the third angle:

• 180° - (48° + 61°) = 71°

Use the las of sines:

• x / sin 61° = 21 / sin 71°
• x = 21 sin 61° / sin 71°
• x = 19.4 cm