Law of Sines Practice Problems

In triangle ABC, side a = 7 cm, side b = 9 cm, and angle A = 30°. Find the measure of angle B using the Law of Sines, rounded to the nearest tenth.

• 38.2°

• 49.1°

• 56.4°

• 65.3°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In triangle DEF, side d = 10 m, side e = 15 m, and angle D = 25°. Find the length of side f using the Law of Sines, rounded to the nearest tenth.

• 22.8 m

• 18.5 m

• 20.3 m

• 23.9 m

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In triangle GHI, angle G = 80°, angle H = 55°, and side g = 12 cm. Find the length of side h using the Law of Sines, rounded to the nearest tenth.

• 9.2 cm

• 10.5 cm

• 11.8 cm

• 13.4 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In triangle JKL, side j = 20 ft, side k = 25 ft, and angle J = 40°. Find the measure of angle K using the Law of Sines, rounded to the nearest tenth.

• 58.6°

• 49.2°

• 62.8°

• 53.4°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In triangle MNO, side m = 14 km, side n = 18 km, and angle N = 70°. Find the measure of angle M using the Law of Sines, rounded to the nearest tenth.

• 55.0°

• 60.3°

• 65.7°

• 72.1°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In triangle PQR, side p = 8 in, side q = 10 in, and angle P = 45°. Find the length of side r using the Law of Sines, rounded to the nearest tenth.

• 11.3 in

• 12.7 in

• 9.8 in

• 14.1 in

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In triangle STU, angle S = 95°, angle T = 50°, and side s = 20 m. Find the length of side t using the Law of Sines, rounded to the nearest tenth.

• 12.3 m

• 15.6 m

• 17.8 m

• 19.4 m

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In triangle VWX, side v = 16 ft, side w = 24 ft, and angle V = 60°. Find the measure of angle W using the Law of Sines, rounded to the nearest tenth.

• 90.0°

• 75.5°

• 84.3°

• 97.2°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11