Sine
Cosine
Application
Area
100

If A = 630, B = 190, and a = 2.4, find b to the nearest tenth using the Law of Sines.

0.9 units

100

If a = 21.5, b = 13, and C = 390, find c to the nearest tenth using the Law of Cosines.

14.1 units

100

In order to solve the triangle given b = 40, c = 45, and A = 510, which law should you use to solve for a?

Cosine Law

100

Find the area of triangle ABC if a=15mm, b=20mm and c=25mm.

Area = 0.5a*b(sin C)

150 mm2

200

If B = 140, C = 450, and b = 5.2, find c to the nearest tenth using the Law of Sines.

15.2 units

200

If A = 520, b = 54 and c = 49, find a to the nearest tenth using the Law of Cosines.

45.3 units

200

In order to solve the triangle given b = 40, c = 45, and B = 510, which law should you use to solve for C?

Sine Law

200

Find the area of triangle ABC if a=3 km, b=19 km and c= 21 km.

Area = 0.5a*b(sin C)

22.3 km2

300

If a = 12, B = 270, and b = 15, find A to the nearest degree using the Law of Sines.

210

300

If a = 3, b = 7 and c = 5, find B to the nearest degree using the Law of Cosines.

1200

300

Lara's radar on her submarine detects two other submarines nearby. The first sub is 360m away, the second sub is 250m, and the angle between them is 34.34 degree. What is the distance between the other two subs?

302.40m

300

Find the area of triangle ABC if B=250, a =17m and c=33m.

Area = 0.5a*b(sin C)

119 m2

400

If A = 500, b = 10, and a = 14, find C to the nearest degree using the Law of Sines.

970

400

If a = 5, b = 6, and c = 8, find A to the nearest degree using the Law of Cosines.

390

400

A soccer player takes a shot on a standard net that is 7.3m wide. If the player is 10m from one goalpost and 14m from the other, through what angle can a goal be made?

29.90

400

Find the area of triangle ABC if A=320, b=10cm and c=12cm.

Area = 0.5a*b(sin C)

31.8 cm2

500

If A = 123.90, B = 22.20, and b = 27.5, find c to the nearest tenth using the Law of Sines.

40.6 units

500

If a = 12.6, b = 8.5, and c = 6.3, find C to the nearest degree using the Law of Cosines.

26.70

500

Scientists in Houston are trying to figure out the distance from a satellite to Cape Canaveral. They know that the satellite is 530 miles from Houston at an 85ยบ angle of elevation, and Houston and Cape Canaveral, in a straight line from one to the other, are 902 miles apart. How far is the satellite from Cape Canaveral?

1005.57 miles

500

Find the area of triangle ABC if A=360, b=4cm and c=7cm

8.2 cm2

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