WorksheetsFinding Side Lengths Using the Law of Sines
Total questions: 10
Worksheet time: 5mins
A triangle has angles A = 30° and B = 45°. If side a = 10 cm, find the length of side b using the law of sines.
10√2 cm
5 cm
15 cm
20 cm
In triangle ABC, angle A = 50° and angle B = 60°. If side a = 12 m, calculate the length of side b.
14.0 m
10.5 m
16.2 m
12.5 m
A boat sails from point A to point B, creating a triangle with angle A = 70° and angle B = 40°. If the distance from A to C (the point directly across from B) is 15 km, find the distance from A to B.
25.30 km
30.00 km
18.50 km
21.92 km
In triangle XYZ, angle X = 35° and angle Y = 75°. If side x = 20 m, use the law of sines to find the length of side y.
25.50 m
40.20 m
30.75 m
34.64 m
A surveyor measures angle A = 55° and angle B = 85° in triangle ABC. If side a = 25 ft, determine the length of side b.
28 ft
40 ft
20 ft
32.5 ft
A triangular park has angles measuring 45°, 60°, and 75°. If the side opposite the 45° angle is 30 m, find the lengths of the other two sides.
b ≈ 36.74 m, c ≈ 41.00 m
b ≈ 40.00 m, c ≈ 50.00 m
b ≈ 30.00 m, c ≈ 45.00 m
b ≈ 25.00 m, c ≈ 35.00 m
In triangle DEF, angle D = 40° and angle E = 70°. If side d = 18 cm, calculate the length of side e using the law of sines.
18.75 cm
26.28 cm
22.15 cm
30.50 cm
A ladder leans against a wall forming a triangle with the ground. If the angle between the ladder and the ground is 60° and the distance from the wall to the base of the ladder is 5 m, find the length of the ladder.
12 m
10 m
8 m
15 m
In triangle PQR, angle P = 30° and angle Q = 50°. If side p = 10 m, find the length of side q using the law of sines.
12.50 m
18.75 m
15.32 m
20.00 m
A triangle has angles measuring 30°, 60°, and 90°. If the side opposite the 30° angle is 5 m, find the lengths of the other two sides.
5 m and 15 m
The lengths of the other two sides are 5√3 m and 10 m.
10√2 m and 5 m
7 m and 12 m
