Right Triangles and Trig Ratios (Grades 11-12)

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Right Triangles and Trig Ratios

1. 
In [math]Delta ABC[/math], [math]AB = 4 \ "units"[/math] and [math]BC = 6\ "units"[/math]. What is the value of [math]sin(C)[/math], rounded to two decimal places?
Right Triangle ABC v2
  1. 0.67
  2. 0.75
  3. 0.89
  4. 1.12
2. 
In [math]Delta ABC[/math], what is the value of [math]sin(A)[/math] if [math]BC = 4 \ "units"[/math] and [math]AC = 6.5 \ "units"?[/math] Round the answer to two decimal places.
Right Triangle ABC v3
  1. 0.52
  2. 0.62
  3. 0.85
  4. 1.63
3. 
In [math]Delta ABC[/math], [math]AC = 4\ "units"[/math] and [math]AB = 7\ "units"[/math]. What is the value of [math]tan(B)[/math], rounded to two decimal places?
Right Triangle ABC v1
  1. 0.50
  2. 0.57
  3. 0.87
  4. 1.75
4. 
In [math]Delta ABC[/math], [math]AB = 8.5 \ "units"[/math] and [math]BC = 4.2 \ "units"[/math]. What is the value of [math]tan(A)[/math], rounded to two decimal places?
Right Triangle ABC v3
  1. 0.57
  2. 0.78
  3. 0.87
  4. 1.76
5. 
In [math]Delta ABC[/math], [math]AC = 14 \ "units"[/math] and [math]BC = 17 \ "units"[/math]. What is the value of [math]cos(C)[/math], rounded to two decimal places?
Right Triangle ABC v2
  1. 0.56
  2. 0.69
  3. 0.82
  4. 1.21
6. 
In [math]Delta ABC[/math], [math]AC = 12.7 \ "units"[/math] and [math]AB = 17 \ "units"[/math]. What is the value of [math]cos(B)[/math], rounded to two decimal places?
Right Triangle ABC v1
  1. 0.60
  2. 0.66
  3. 0.75
  4. 0.80
7. 
In [math]Delta ABC[/math], [math]sin(B) = 0.53[/math] and [math]AB = 15 \ "units"[/math]. What is the length of [math]bar{BC}[/math], rounded to two decimal places?
Right Triangle ABC v1
  1. Not enough information.
  2. 13.25 units
  3. 17.69 units
  4. 28.30 units
8. 
In [math]Delta ABC[/math], [math]tan(A) = 0.62[/math] and [math]AB = 1.52 \ "units"[/math]. What is the length of [math]bar{BC}[/math], rounded to two decimal places?
Right Triangle ABC v3
  1. 0.80 units
  2. 0.94 units
  3. 1.29 units
  4. 1.94 units
9. 
In [math]Delta ABC[/math], [math]cos(C) = 0.78[/math] and [math]AB = 19.3 \ "units"[/math]. What is the length of [math]bar{BC}[/math], rounded to two decimal places?
Right Triangle ABC v2
  1. 15.21 units
  2. 24.01 units
  3. 24.74 units
  4. 30.84 units
10. 
In [math]Delta ABC[/math], [math]sin(C) = 0.8[/math] and [math]cos(C) = 0.6[/math]. What is the length of [math]bar{BC}[/math], rounded to two decimal places (if necessary)?
Right Triangle ABC v1
  1. 0.43 units
  2. 5 units
  3. 6.51 units
  4. All of the above are possible lengths of [math]bar{BC}[/math].

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