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?

- 0.67
- 0.75
- 0.89
- 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.

- 0.52
- 0.62
- 0.85
- 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?

- 0.50
- 0.57
- 0.87
- 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?

- 0.57
- 0.78
- 0.87
- 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?

- 0.56
- 0.69
- 0.82
- 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?

- 0.60
- 0.66
- 0.75
- 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?

- Not enough information.
- 13.25 units
- 17.69 units
- 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?

- 0.80 units
- 0.94 units
- 1.29 units
- 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?

- 15.21 units
- 24.01 units
- 24.74 units
- 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)?

- 0.43 units
- 5 units
- 6.51 units
- All of the above are possible lengths of [math]bar{BC}[/math].
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