Unit Test 3

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Find the area of the triangle with A = 63°, b = 9 feet, and c = 7 feet. Round to the nearest tenth.

28.1 ft^2

Find all solutions for a triangle with C= 17 degrees, a=10, c=11. Round to the nearest tenth.

A.

Find all solutions for a triangle with C= 70, c=24, a= 25

A.

Find all solutions for a triangle with C=17, a=10, c=11 Round to the nearest tenth.

A.

Solve a triangle when A= 27.3, B=55.9, a= 8.6

A.

Solve a triangle with a=32, b= 38, and c=46

A.

Given a triangle with a = 19, A = 43°, and B =26 °, what is the length of c? Round to the nearest tenth.

A. 26

Find the solutions for a triangle with a =16, c =12, and B= 63 degrees

B.

Solve the triangle that has a=4.6, B=19, A=92

B.

A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields to be 15'. To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 30'. The distance between the two athletic complexes is 4 miles. Find the distance from the balloon to the soccer fields.

B. 3.6 mi

Find the area of the triangle with A = 60°, b = 11 feet, and c = 8 feet. Round to the nearest tenth.

B. 38.1 ft^2

Find the area of the triangle with a=18.8, b=11.6,c= 13.8. Round to the nearest tenth.

B. 79.7

Find all solutions for a triangle with a=26, b=29, A=58

C.

Find the solutions for a triangle with a =11.4, b =13.7, and c =12.2.

C.

Solve a triangle when A=40, B=59, c=14

C.

Solve a triangle when A=40, C=70, a=20

C.

Given a triangle with b = 7, c = 6 , and A = 29° what is the length of a? Round to the nearest tenth.

C. 3.4

Find all solutions for a triangle with C=130, c=17, and b=5. Round to the nearest tenth.

C. A=37.0, B= 13.0, a= 13.4

Find all solutions for a triangle with A= 30, a=4, and b= 8.

C. B=90, C=60, c= 6.9

Find all solutions for a triangle with A= 40, B= 60, c=20.

C. C=80, a= 13.1, b= 17.6

Find all solutions for the triangle with e= 37, f= 34, E= 165. If no solutions exist, write none. Round to the nearest tenth.

C. g= 3, F= 13.8, G= 1.2

Find all solutions for the triangle with f=29, e=26, F=43. If no solutions exist, write none. Round to the nearest tenth.

D.

Find the solutions for a triangle with C=79.3, a =11.4, and b =13.7.

D.

Solve a triangle with a=25, b=30, C=160

D.

Solve a triangle with a=4, b=5, and c=7.

D.

A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields to be 20° 15'. To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30'. The distance between the two athletic complexes is 4 miles. What is the distance from the balloon to the football field?

D. 1.4 mi

In triangle ABC, B= 17 degrees 55', C=98 degrees 15', and a= 17. What is the length of c

D. 18.7

A regular octagon is inscribed in a circle with a radius of 5 feet. What is the area of the octagon?

D. 70.7 ft^2

A triangle cannot exist if A <90 and a <b sin A or if A=>90 and a<=b.

True

Determine the number of possible solutions for a triangle with A= 57, a=11, b=19

a. 0

How many solutions are possible for a triangle with B= 44, a=23, and b= 12.

a. 0

Find the area of the triangle. Round your answer to the nearest tenth.

a. 1,360.8 yd2

Find the area of the triangle. Round your answer to the nearest tenth.

a. 1,360.8 yd^2

Use the Law of Sines. Find the indicated measure to the nearest tenth. In RST,

a. 12.2 in

What is the area of a triangle with B=42.8, a= 12.7, c=5.8

a. 25 units^2

Find the area of a triangle when A=22, B=105, b=14

a. 30.4 units ^2

Find the area of a triangle when A=22, B= 105, b=14

a. 30.4 units^2

Find the area of ABC. Round your answer to the nearest tenth. m<A=52 , a = 9.71, c = 9.33

a. 44.5

Find the area of the triangle. Round your answer to the nearest tenth.

a. 449.1 cm2

Use the Law of Sines. Find m<C to the nearest tenth.

a. 68.3°

In slow-pitch softball, the diamond is a square that is 65 feet on each side. The distance between the pitcher's mound and home plate is 50 feet. How far does the pitcher have to throw the softball from the pitcher's mound to third base to stop a player who is trying to steal third base?

a. about 46.1 ft

How many solutions are there for the triangle with A=95, b=4, a=6.

b. 1 solution

Use the Law of Sines to solve for a to the nearest tenth.

b. 21.2

Use the Law of Sines. Find b to the nearest tenth.

b. 27.3

Find the area of ABC. Round your answer to the nearest tenth. b = 14.6

b. 29.7

Find the area of a triangle when A= 40 degrees, b=14, c=9

b. 40.5 units degrees

A triangle has sides of lengths 10 cm and 16 cm and the measure of the angle between them is 130 degrees. Find the area of the triangle

b. 61.3 cm2

A triangle has sides of lengths 10 cm and 16 cm and the measure of the angle between them is 130 degrees. Find the area of the triangle.

b. 61.3 cm2

A triangle has sides of lengths 10 cm and 16 cm and the measure of the angle between them is 130. Find the area of the triangle.

b. 61.3 cm^2

Find the area of a triangle with a =11.5, b =13.7, and c =12.2.

b. 66.1 units^2

Use the Law of Sines. Find b to the nearest tenth.

b. 77.4

Find the area of a triangle when a= 5, B= 37, C=84

b. 8.7 unit^2

Use the Law of Sines. Find b to the nearest tenth.

b. 81.4

Find the area of a triangle when A=78 degrees, b=14, c=12

b. 82.2 units^2

Find the perimeter of each of the two noncongruent triangles where a=15, b= 20, A= 29

b. about 63.9 units and 41.0 units

Given a triangle with sides measuring 18 inches, 21 inches, and 14 inches find the measure of the angle with the greatest measure

b. about 81

Find the area of a triangle with a =17, b =13, and c =19.

c. 107.8 units^2

Find the area of the triangle. Round your answer to the nearest tenth.

c. 165.6 cm2

Determine the number of possible solutions for a triangle with B=37, a=32, and b=27

c. 2

Use the Law of Sines. Find the indicated measure to the nearest tenth. In

c. 27.0

Find the area of ABC. Round your answer to the nearest tenth. a = 10.1, c = 9.8

c. 49.4

Find the area of ABC. Round your answer to the nearest tenth. m<B=87, a = 10.1, c = 9.8

c. 49.4

What is the area of a triangle with A=15, B=113, b=7

c. 5.4 units^2

Use the Law of Sines. Find m<C to the nearest tenth.

c. 56.0°

What is the area of a triangle with a =2, b =7, and c =8?

c. 6.4 units^2

A farmer can fit 1 cow per 50 square feet of area inside of a pen. Determine how many cows he can fit inside the area of triangle shaped pen with sides of length 30ft, 25ft, 40ft.

c. 7 cows

Find the area of the triangle. Round your answer to the nearest tenth.

c. 922.1 ft2

What is the area of a triangle with a =25, b =13, and c =17?

d. 102.3 units^2

Find the area of a triangle with a =4, b =6, and c =8.

d. 11.6 units^2

Find the area of the triangle. Round your answer to the nearest tenth.

d. 388.7 in.2

Find the area of the triangle. Round your answer to the nearest tenth.

d. 517.5 in.^2

Use the Law of Sines. Find b to the nearest tenth.

d. 66.5

Find the area of the triangle. Round your answer to the nearest tenth.

d. 661.9 yd2

Find the area of a triangle with a =33, b =51, and c =42.

d. 690.1 units^2

Find the area of the triangle. Round your answer to the nearest tenth.

d. 83.6 yd^2

Find the area of align='bottom'ABC. Round your answer to the nearest hundredth. m<C= 68degrees, b = 12.9, c = 15.2

d. 84.99

The sides of a triangle measure 14.9 centimeters, 23.8 centimeters, and 36.9 centimeters. Find the measure of the angle with the least measure.

d. about 13.8

Find all solutions for a triangle with A= 140, b=10, a=3. Round to the nearest tenth.

d. no solutions

Find all solutions for a triangle with A=140, b=10, a=3. Round to the nearest tenth.

d. no solutions

Find all solutions for a triangle with a=14, b=12, B=90

d. no solutions

Find all solutions for a triangle with a=6, b=8, and A=150

d. no solutions

How many triangles are there that satisfy the conditions a = 14, b = 2, A = 66°?

d. 1


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