Quiz about Review of Law of Sines & Law of Cosines

Question 1

The law of sines is used to solve right triangles.

Accepted Answer

False

Answer

True

Question 2

Which of the following formulas show the law of cosines?

Accepted Answer

$$c^2=a^2+b^2-2ab\cos C$$

Answer

$$c^2=a^2+b^2-4ac+\cos A$$

Answer

$$c^2=a^2-b^2-2ab\cos C$$

Answer

$$\frac{(\cos A)}{a}=\frac{(\cos B)}{b}$$

Question 3

Jack is flying his kite. He runs 100 ft away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is $$65\degree$$ . How far away is the kite from the house?

Accepted Answer

96.36 ft

Answer

9285.73 ft

Answer

24061.81 ft

Answer

155.12 ft

Question 4

Question 4.

Accepted Answer

41.7

Answer

51.7

Answer

61.7

Answer

71.7

Question 5

What are the possible criteria for law of sines?

Accepted Answer

SSA, ASA, AAS

Answer

AAS, SSS, ASA

Answer

SAS, SSS, ASA

Answer

SAS, AAS, ASA

Question 6

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.

Accepted Answer

841.22

Answer

707643.58

Answer

877.62

Answer

842.01

Question 7

Question 7.

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of Mrs.Ciprich

Answer

Law of Trig

Question 8

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?

Accepted Answer

25.23 ft

Answer

23.19 ft

Answer

22.15 ft

Answer

20.85 ft

Question 9

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

Accepted Answer

131.7 feet

Answer

152.7 feet

Answer

166.3 feet

Answer

157.3 feet

Question 10

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

Accepted Answer

Cosines

Answer

Sines

Answer

Tangent

Answer

Cosecants

Question 11

Question 11.

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Murphy's Law

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