Laws of Sine and Cosine Jeopardy Template

Sine	Cosine	Application	Area
100 0.9 units If A = 63 degrees, B = 19 degrees, and a = 2.4, find b to the nearest tenth using the Law of Sines.	100 14.1 units If a = 21.5, b = 13, and C = 39 degrees, find c to the nearest tenth using the Law of Cosines.	100 Cosine Law In order to solve the triangle given b = 40, c = 45, and A = 51, which law should you use first to solve.	100 150 mm^2 Find the area of triangle ABC if a=15mm, b=20mm and c=25mm. Hint: A = 1/2 a*b(sin C)
200 15.2 units If B = 14 degrees, C = 45 degrees, and b = 5.2, find c to the nearest tenth using the Law of Sines.	200 45.3 units If A = 52 degrees, b = 54 and c = 49, find a to the nearest tenth using the Law of Cosines.	200 Sine Law In order to solve the triangle given b = 40, c = 45, and B = 51 degrees, which law should you use first to solve.	200 22.3 km^2 Find the area of triangle ABC if a=3 km, b=19 km and c= 21 km.
300 21 degrees If a = 12, B = 27 degrees, and b = 15, find A to the nearest degree using the Law of Sines.	300 120 degree If a = 3, b = 7 and c = 5, find B to the nearest degree using the Law of Cosines.	300 302.40m Lara's radar on her submarine detects two other subs 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?	300 119 m^2 Find the area of triangle ABC if B=25 degrees, a =17m and c=33m.
400 97 degrees If A = 50 degrees, b = 10, and a = 14, find C to the nearest degree using the Law of Sines.	400 39 degree If a = 5, b = 6, and c = 8, find A to the nearest degree using the Law of Cosines.	400 29.9 or 30 degrees 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?	400 31.8 cm^2 Find the area of triangle ABC if A=32 degrees, b=10cm and c=12cm
500 40.6 units If A = 123.9 degrees, B = 22.2 degrees, and b = 27.5, find c to the nearest tenth using the Law of Sines.	500 26.7 degree If a = 12.6, b = 8.5, and c = 6.3, find C to the nearest degree using the Law of Cosines.	500 1005.57 miles 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 85º 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?	500 8.2 cm^2 Find the area of triangle ABC if A=36 degrees, b=4cm and c=7cm

Sine

Cosine

Application

Area

100

0.9 units

If A = 63 degrees, B = 19 degrees, and a = 2.4, find b to the nearest tenth using the Law of Sines.

100

14.1 units

If a = 21.5, b = 13, and C = 39 degrees, find c to the nearest tenth using the Law of Cosines.

100

Cosine Law

In order to solve the triangle given b = 40, c = 45, and A = 51, which law should you use first to solve.

100

150 mm^2

Find the area of triangle ABC if a=15mm, b=20mm and c=25mm. Hint: A = 1/2 a*b(sin C)

200

15.2 units

If B = 14 degrees, C = 45 degrees, and b = 5.2, find c to the nearest tenth using the Law of Sines.

200

45.3 units

If A = 52 degrees, b = 54 and c = 49, find a to the nearest tenth using the Law of Cosines.

200

Sine Law

In order to solve the triangle given b = 40, c = 45, and B = 51 degrees, which law should you use first to solve.

200

22.3 km^2

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

300

21 degrees

If a = 12, B = 27 degrees, and b = 15, find A to the nearest degree using the Law of Sines.

300

120 degree

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

300

302.40m

Lara's radar on her submarine detects two other subs 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?

300

119 m^2

Find the area of triangle ABC if B=25 degrees, a =17m and c=33m.

400

97 degrees

If A = 50 degrees, b = 10, and a = 14, find C to the nearest degree using the Law of Sines.

400

39 degree

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

400

29.9 or 30 degrees

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?

400

31.8 cm^2

Find the area of triangle ABC if A=32 degrees, b=10cm and c=12cm

500

40.6 units

If A = 123.9 degrees, B = 22.2 degrees, and b = 27.5, find c to the nearest tenth using the Law of Sines.

500

26.7 degree

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

500

1005.57 miles

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 85º 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?

500

8.2 cm^2

Find the area of triangle ABC if A=36 degrees, b=4cm and c=7cm