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Trig Section 2.3

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Refer to right triangle ABC with C = 90mc001-1.jpg.

mc001-2.jpg

If A = 43mc001-3.jpg and c = 81 cm, find b.

Round the answer to the nearest whole number.
a.
59 cm
b.
60 cm
c.
62 cm
d.
57 cm
e.
63 cm
 

 2. 

Refer to right triangle ABC with C = 90mc002-1.jpg.

mc002-2.jpg

If a = 42.6 inches and b = 32.1 inches, find B.

Round the answer to the nearest tenth.
a.
37.2mc002-3.jpg
b.
36.4mc002-4.jpg
c.
37.4mc002-5.jpg
d.
36.2mc002-6.jpg
e.
37.0mc002-7.jpg
 

 3. 

Refer to right triangle ABC with C = 90mc003-1.jpg.

mc003-2.jpg

If b = 9.4 mm and c = 12 mm, find B.

Round the answer to the nearest whole number.
a.
55mc003-3.jpg
b.
52mc003-4.jpg
c.
50mc003-5.jpg
d.
56mc003-6.jpg
e.
51mc003-7.jpg
 

 4. 

Refer to right triangle ABC with C = 90mc004-1.jpg. Solve for all the missing parts using the given information.

mc004-2.jpgm

Round each answer to the nearest whole number.
a.
mc004-3.jpg
b.
mc004-4.jpg
c.
mc004-5.jpg
d.
mc004-6.jpg
e.
mc004-7.jpg
 

 5. 

Refer to right triangle ABC with C = 90mc005-1.jpg. Solve for all the missing parts using the given information.

mc005-2.jpgft

Round the answers to the nearest tenth if necessary.
a.
mc005-3.jpg
b.
mc005-4.jpg
c.
mc005-5.jpg
d.
mc005-6.jpg
e.
mc005-7.jpg
 

 6. 

Refer to right triangle ABC with C = 90mc006-1.jpg. Solve for all the missing parts using the given information.

mc006-2.jpg inches, mc006-3.jpg inches

Round the answers for the angles to two decimal places, and for the side, to one decimal place.
a.
mc006-4.jpg in
b.
mc006-5.jpg in
c.
mc006-6.jpg in
d.
mc006-7.jpg in
e.
mc006-8.jpg in
 

 7. 

Use the information given in the diagram to find A to the nearest degree.

mc007-1.jpg
a.
53mc007-2.jpg
b.
54mc007-3.jpg
c.
56mc007-4.jpg
d.
55mc007-5.jpg
e.
60mc007-6.jpg
 

 8. 

In the figure, the distance from A to D is y, the distance from D to C is x, and the distance from C to B is h.

mc008-1.jpg

If mc008-2.jpg, mc008-3.jpg, mc008-4.jpg, and mc008-5.jpg, find x, then y.

Round each answer to the nearest tenth.
a.
x = 8.5, y = 6.1
b.
x = 8.9, y = 5.7
c.
x = 8.7, y = 6.3
d.
x = 8.5, y = 6.3
e.
x = 8.7, y = 6.1
 

 9. 

In the figure, the distance from A to D is y, the distance from D to C is x, and the distance from C to B is h.

mc009-1.jpg

If mc009-2.jpg, mc009-3.jpg, and mc009-4.jpg, find h, then x.

Round each answer to the nearest whole number.
a.
h = 33, x = 29
b.
h = 29, x = 27
c.
h = 31, x = 25
d.
h = 31, x = 27
e.
h = 29, x = 25
 

 10. 

The figure shows a simplified model of the first Ferris wheel. The radius of the first Ferris wheel was 125 feet, and the distance from the ground to the bottom of the wheel was 14 feet. If mc010-1.jpg is the central angle formed as a rider moves from position mc010-2.jpg to position mc010-3.jpg, find the rider's height above the ground h when mc010-4.jpg is 330mc010-5.jpg.

mc010-6.jpg mc010-7.jpg

Round the answer to the nearest whole number.
a.
26 ft
b.
31 ft
c.
25 ft
d.
43 ft
e.
28 ft
 



 
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