Law of cosines quiz

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Law of Cosines Quiz

1.

Given triangle ABC, a= 11, b= 5, and C= 20 degrees, solve for side c.

A) 6.5 B ) 7 C) 6.9 D ) 6.2 E ) 6

2 . Given Triangle ABC, a= 13, c= 8 and angle B= 131, solve for side b.

A ) 19 B ) 18.7 C) 19.2 D) 19.5 E ) 19.9

3 . Given triangle ABC if a= 9, b= 7 and c= 5, solve for angle A.

B) 98 C ) 96 D ) 96.2 E) 95.7 A ) 92

4 . Given the same triangle ABC from question 3, find angle B.

A ) 49.8 B ) 50.7 C ) 51.2 D) 50.5 E) 51.5

5 . Which of the following situation can you not use the law of cosines?

A ) SSS B ) SAS C) AAS

6.

Juan wants to find the distance between two points. A and B on opposite side of a building.

He locates a point C that is 110 feet from A and 160 feet from B, as illustrated in the figure. If the angle at C is 54 degrees, find distance AB.

A) 125.42 B) 132.5 C ) 131.42 D) 132. 45 E) 130.42

7.

The player waiting to receive a kickoff stands at the 5 yard line (point A) as the ball is being kicked 65 yards up the field from the opponent's 30 yard line. The kicked ball travels 73 yards at an angle of 8 degrees to the right of the receiver, point B. Find the distance the receiver runs to catch the ball.

A) 12.5 B ) 13.2 C) 12 D) 13.5 E ) 12.2

8 . A navigator plots the course a plane is currently traveling. The plane if 300 miles from its destination. If it continues on its current course it will travel 325 miles and end up 125 due south of its destination. To the nearest degree, how many degrees is the plan off its course?

A ) 20.2 B) 22.6 C) 23.6 D) 24.6 E ) 25.6

9 . A rhombus has side lengths of 25 inches. The diagonal opposite the obtuse angles is 45 inches. What is the measure of the obtuse angle to the nearest degree?

A) 122.3 B ) 127.3 C ) 128.3 D) 129.5 E ) 115.9

10 . For triangle DEF, find the measure of angle F, given d=38, e= 42 and f=47

A ) 70.2 B ) 72 C ) 74.2 D ) 74.9 E ) 71.8

Answers :

1. A

2. C

3.E

4. B

5. C

6. E

7. A

8. B

9. C

10. E

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