Quiz about Solve the Triangle

Question 1

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of Tangents

Question 2

If the sides of a triangle are 3, 4, and 5, what is the area?

Accepted Answer

6

Answer

6.28

Answer

12

Answer

3.14159

Question 3

Find BC to the nearest whole number.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 4

Find angle A, to the nearest tenth, if angle B = 19, a =51, and c = 61.

Accepted Answer

52.5

Answer

21

Answer

108.7

Answer

51

Question 5

Solve the triangle. Round to the nearest tenth if necessary.

A=65, C=65, a=12

Accepted Answer

B=50, b=10.1, c=12

Answer

B=50, b=9.9, c=12

Answer

B=70, b=12.8, c=12

Answer

B=40 b=11.2, c=12

Question 6

Find m<B, to the nearest degree.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

What is the measure of angle A to the nearest degree?

Accepted Answer

78 degrees

Answer

58 degrees

Answer

61 degrees

Answer

74 degrees

Question 8

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of Tangent

Question 9

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of Tangent

Question 10

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of Tangent

Question 11

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of Tangent

Question 12

What is the length of side x to the nearest tenth?

Accepted Answer

105.0 cm

Answer

130.0 cm

Answer

112.0 cm

Answer

150.0 cm

Question 13

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 boards joined at a 45 degree angle.  To prevent the swing set from tipping over, Clint wants to secure the base of each A-frame to concrete footings.  How far apart should the footings for each A-frame be?

Accepted Answer

7.65 feet

Answer

5.461 feet

Answer

9.743 feet

Answer

6 feet

Question 14

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. To the nearest hundredth, how far away is the bird from Amanda?

Accepted Answer

25.23 ft.

Answer

23.19 ft.

Answer

22.15 ft.

Answer

20.85 ft.

Question 15

Find the area of triangle ABC to the nearest tenth.

Accepted Answer

223.7 units²

Answer

73.1 units²

Answer

52.7 units²

Answer

3.3 units²

Question 16

Find the area of triangle DEF to the nearest tenth.

Accepted Answer

59.8 cm2

Answer

9.5 cm2

Answer

119.5 cm2

Answer

5.4 cm2

Question 17

Given what parts of a triangle would you use Law of Cosines to solve the triangle?

Accepted Answer

SSS

Answer

SSA

Answer

AAS

Answer

AAA

Question 18

Given what parts of a triangle would you use Law of Sines to solve the triangle?

Accepted Answer

AAS

Answer

SSS

Answer

SAS

Answer

AAA

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