AnswersMathematics IIITrigonometric Applications

Practice Test Answers

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1
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What is the area of triangle DEF ?

A
12 square root of 77 square units
B
6 square root of 22 square units
C
2 square root of 14 square units
D
2 square root of 2 square units
2
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Which equation correctly applies the law of cosines to solve for an unknown angle measure?

A
7 squared is equal to 8 squared plus 11 squared minus 2 8 11 cosine cap n
B
8 squared is equal to 7 squared plus 11 squared minus 2 7 11 cosine cap m
C
7 squared is equal to 8 squared plus 11 squared minus 2 8 11 cosine cap p
D
8 squared is equal to 7 squared plus 11 squared minus 2 7 11 cosine cap p
3

Which equation is correct and can be used to solve for the value of z ?

A
sine of open paren 51 degrees close paren over 2 point 6 is equal to sine of open paren 53 degrees close paren over z
B
sine of open paren 51 degrees close paren over 2 point 6 is equal to sine of open paren 76 degrees close paren over z
C
sine of open paren 76 degrees close paren over 2 point 6 is equal to sine of open paren 53 degrees close paren over z
D
sine of open paren 76 degrees close paren over 2 point 6 is equal to sine of open paren 51 degrees close paren over z
4

What is the best approximation of the value of A ?

A
3 point 0 centimeters
B
2 point 4 centimeters
C
3 point 3 centimeters
D
2 point 7 centimeters
6

The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3 point 2 5 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8 point 7 5 meters. Which of the following equations models d , the depth of the water in meters, as a function of time, t , in hours? Let t is equal to 0 be 12:00 a.m.

A
d is equal to negative 2 point 7 5 cosine open paren 4 pi over 29 t close paren plus 6
B
d is equal to negative 3 point 7 5 cosine open paren 4 pi over 31 t close paren plus 5
C
d is equal to negative 2 point 7 5 cosine open paren 4 pi over 31 t close paren plus 6
D
d is equal to negative 3 point 7 5 cosine open paren 4 pi over 29 t close paren plus 5

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