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This printable supports Common Core Math Standard HSG-SRT.C.6

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Right Triangles and Trig Ratios (Grades 11-12)

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Right Triangles and Trig Ratios

1.
In $Delta ABC$, $AB = 4 \ "units"$ and $BC = 6\ "units"$. What is the value of $sin(C)$, rounded to two decimal places?
1. 0.67
2. 0.75
3. 0.89
4. 1.12
2.
In $Delta ABC$, what is the value of $sin(A)$ if $BC = 4 \ "units"$ and $AC = 6.5 \ "units"?$ Round the answer to two decimal places.
1. 0.52
2. 0.62
3. 0.85
4. 1.63
3.
In $Delta ABC$, $AC = 4\ "units"$ and $AB = 7\ "units"$. What is the value of $tan(B)$, rounded to two decimal places?
1. 0.50
2. 0.57
3. 0.87
4. 1.75
4.
In $Delta ABC$, $AB = 8.5 \ "units"$ and $BC = 4.2 \ "units"$. What is the value of $tan(A)$, rounded to two decimal places?
1. 0.57
2. 0.78
3. 0.87
4. 1.76
5.
In $Delta ABC$, $AC = 14 \ "units"$ and $BC = 17 \ "units"$. What is the value of $cos(C)$, rounded to two decimal places?
1. 0.56
2. 0.69
3. 0.82
4. 1.21
6.
In $Delta ABC$, $AC = 12.7 \ "units"$ and $AB = 17 \ "units"$. What is the value of $cos(B)$, rounded to two decimal places?
1. 0.60
2. 0.66
3. 0.75
4. 0.80
7.
In $Delta ABC$, $sin(B) = 0.53$ and $AB = 15 \ "units"$. What is the length of $bar{BC}$, rounded to two decimal places?
1. Not enough information.
2. 13.25 units
3. 17.69 units
4. 28.30 units
8.
In $Delta ABC$, $tan(A) = 0.62$ and $AB = 1.52 \ "units"$. What is the length of $bar{BC}$, rounded to two decimal places?
1. 0.80 units
2. 0.94 units
3. 1.29 units
4. 1.94 units
9.
In $Delta ABC$, $cos(C) = 0.78$ and $AB = 19.3 \ "units"$. What is the length of $bar{BC}$, rounded to two decimal places?
1. 15.21 units
2. 24.01 units
3. 24.74 units
4. 30.84 units
10.
In $Delta ABC$, $sin(C) = 0.8$ and $cos(C) = 0.6$. What is the length of $bar{BC}$, rounded to two decimal places (if necessary)?
1. 0.43 units
2. 5 units
3. 6.51 units
4. All of the above are possible lengths of $bar{BC}$.
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