Sine
Cosine
Application
Area
100
If A = 63 degrees, B = 19 degrees, 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 = 39 degrees, 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 = 51, which law should you use first to solve.
Cosine Law
100

Find the area of triangle ABC if A=36 degrees, b=4cm and c=7cm (correct to the nearest tenth)

8.2 cm^2

200
If B = 14 degrees, C = 45 degrees, and b = 5.2, find c to the nearest tenth using the Law of Sines.
15.2 units
200
If A = 52 degrees, 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 = 51 degrees, which law should you use first to solve.
Sine Law
200

Find the area of triangle ABC if A=32 degrees, b=10cm and c=12cm (correct to the nearest tenth)

31.8 cm^2

300
If a = 12, B = 27 degrees, and b = 15, find A to the nearest degree using the Law of Sines.
21 degrees
300
If a = 3, b = 7 and c = 5, find B to the nearest degree using the Law of Cosines.
120 degree
300

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? (correct to the nearest metre)

302 m

300

Find the area of triangle ABC if B=25 degrees, a =17m and c=33m. (correct to the nearest metre)

119 m^2

400
If A = 50 degrees, b = 10, and a = 14, find C to the nearest degree using the Law of Sines.
97 degrees
400
If a = 5, b = 6, and c = 8, find A to the nearest degree using the Law of Cosines.
39 degree
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? (correct to the nearest tenth of a degree)

29.9 degrees

400

Find the area of triangle ABC if a=15mm, b=20mm and c=25mm. (correct to the nearest mm)

150 mm^2

500
If A = 123.9 degrees, B = 22.2 degrees, 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.

27 degree

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, to the nearest mile?

1006 miles

500

Find the area of triangle ABC if a=3 km, b=19 km and c= 21 km. (correct to the nearest tenth)

22.3 km^2

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