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Unit 3.2 Law of Cosines

 1. 

Use the law of Cosines to solve the given triangle. Round your answer to two decimal places.

mc001-1.jpg

mc001-2.jpg
a.
mc001-3.jpg
b.
mc001-4.jpg
c.
mc001-5.jpg
d.
mc001-6.jpg
e.
mc001-7.jpg
 

 2. 

Use the law of Cosines to solve the given triangle. Round your answer to two decimal places.

mc002-1.jpg
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
e.
mc002-6.jpg
 

 3. 

Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. Then solve the triangle. Round your answer to two decimal places.

mc003-1.jpg
a.
Law of Sines;mc003-2.jpg
b.
Law of Cosines; No solution
c.
Law of Cosines; No solution
d.
Law of Cosines; mc003-3.jpg
e.
Law of Sines; mc003-4.jpg
 

 4. 

Use the Heron’s formula to find the area of the triangle. Round your answer upto two decimal places.

mc004-1.jpgmc004-2.jpg, mc004-3.jpg mc004-4.jpg

a.
mc004-5.jpg
b.
mc004-6.jpg
c.
mc004-7.jpg
d.
mc004-8.jpg
e.
mc004-9.jpg
 

 5. 

To determine the distance between two aircraft, a tracking station continuously determines the distance to each aircraft and the angle between them (see figure). Determine the distance a between the planes when mc005-1.jpg mc005-2.jpg miles, mc005-3.jpg mc005-4.jpg miles and mc005-5.jpg mc005-6.jpg miles.

mc005-7.jpg

a.
mc005-8.jpg mi
b.
mc005-9.jpg mi
c.
mc005-10.jpg mi
d.
mc005-11.jpg mi
e.
mc005-12.jpg mi
 

 6. 

Given mc006-1.jpg, mc006-2.jpg, and mc006-3.jpg, use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
mc006-4.jpg
a.
mc006-5.jpg
b.
mc006-6.jpg
c.
mc006-7.jpg
d.
mc006-8.jpg
e.
mc006-9.jpg
 

 7. 

Given mc007-1.jpg, mc007-2.jpg, and mc007-3.jpg, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
mc007-4.jpg
a.
mc007-5.jpg
b.
mc007-6.jpg
c.
mc007-7.jpg
d.
mc007-8.jpg
e.
mc007-9.jpg
 

 8. 

Given mc008-1.jpg, mc008-2.jpg, and mc008-3.jpg, use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
a.
mc008-4.jpg
b.
mc008-5.jpg
c.
mc008-6.jpg
d.
mc008-7.jpg
e.
mc008-8.jpg
 

 9. 

Given mc009-1.jpg, mc009-2.jpg, and mc009-3.jpg, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
a.
mc009-4.jpg
b.
mc009-5.jpg
c.
mc009-6.jpg
d.
mc009-7.jpg
e.
mc009-8.jpg
 

 10. 

In the figure below, mc010-1.jpg, mc010-2.jpg, and mc010-3.jpg. Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
mc010-4.jpg
a.
8.91
b.
3.61
c.
7.14
d.
7.58
e.
10.68
 



 
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