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Sine
Cosine
Application
Area
Vectors
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=15mm, b=20mm and c=25mm. Hint: A = 1/2 a*b(sin C)
150 mm^2
100

Find the magnitude of vector a=<2,5>.

sqrt(29)

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=3 km, b=19 km and c= 21 km.
22.3 km^2
200

If a=<4,-2> and b=<3,7>, find 2a-3b.

<-1,-25>

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?
302.40m
300
Find the area of triangle ABC if B=25 degrees, a =17m and c=33m.
119 m^2
300

A football is thrown at 45 ft/sec at an angle of 50 degrees. Find the horizontal and vertical components. Round to the nearest tenth. 

<28.9,34.5>

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?
29.9 or 30 degrees
400
Find the area of triangle ABC if A=32 degrees, b=10cm and c=12cm
31.8 cm^2
400

Find the unit vector in the opposite direction of <7,-2>.

<-7/sqrt(53),2/sqrt(53)>

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.
26.7 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 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?
1005.57 miles
500
Find the area of triangle ABC if A=36 degrees, b=4cm and c=7cm
8.2 cm^2
500

Find the magnitude of the resultant to the nearest tenth.

||a||=50lbs, ||b||=65lbs, the angle between the two vectors is 75 degrees

91.7 lbs