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Law of Sines and Cosines

Mathematics

9th - 12th Grade

10 Questions

CCSS covered

Used 2+ times

Law of Sines and Cosines
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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following formulas shows the Law of Cosines?

c2 = a2 + b2 - 4ac + cosA
c2 = a2 - b2 - 2abcosC
c2 = a2 + b2 - 2abcosC
(cos A)/a = (cos B)/b

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which Law would you use?

Law of Sines
Law of Cosines
Law of the Jungle
Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which Law would you use?

Law of Sines
Law of Cosines
Law of the Jungle
Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55 degrees, and from Jamie to the bird is 63 degrees. How far away, to 2 decimal places, is the bird from Amanda?

25.23 ft

23.19 ft

22.15 ft

20.85 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart, to three decimal places, should the footings for each A-frame be?

5.461 feet

9.743 feet

58.579 feet

7.654 feet

Tags

CCSS.8.G.B.8

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the area of this triangle to three decimal places?

14.494 meters squared

108.184 meters squared

54.092 meters squared

54.350 meters squared

Tags

CCSS.HSG.SRT.D.9

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.

707643.58
841.22
877.62
842.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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