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Right Triangles - Solving for Sides and Angles (Grades 11-12)

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Right Triangles - Solving for Sides and Angles

1. 
If AC is 15, AB is 17, and BC is 8, then find [math]cos(B)[/math].
Right Triangle ABC v3
  1. [math]8/15[/math]
  2. [math]15/8[/math]
  3. [math]8/17[/math]
  4. [math]15/17[/math]
 
2. 
If AC is 12, AB is 9, and BC is 15, then what is [math]cos(C)[/math]?
Right Triangle ABC v1
  1. [math]4/3[/math]
  2. [math]4/5[/math]
  3. [math]3/5[/math]
  4. [math]3/4[/math]
3. 
If side [math]BC = 9[/math] and [math]ang B = 23 deg[/math], what is the length of [math]AC[/math] ?
Right Triangle ABC v2
  1. 3.8
  2. 8.3
  3. 9.2
  4. 3.5
 
4. 
If side [math]BC = 9[/math] and [math]ang B = 23 deg[/math], what is the length of [math]AB[/math] ?
Right Triangle ABC v2
  1. 3.8
  2. 8.3
  3. 9.2
  4. 3.5
5. 
If AC = 16, BC = 18, what is the measure of angle A?
Right Triangle ABC v3
  1. 48.4°
  2. 41.6°
  3. 27.3°
  4. 62.7°
 
6. 
Calculate the length of AC if BC = 17 and Angle B = 70°. Round to the nearest whole number.
Right Triangle ABC v3
  1. 47
  2. 16
  3. 6
  4. 24
7. 
Given [math]Delta ABC[/math], where [math]AC = 5 " and " ang A = 31deg[/math], find the length of side AB.
Right Triangle ABC v3
  1. 9.71
  2. 2.58
  3. 5.83
  4. 4.29
 
8. 
Right Triangle ABC v2

[math]bar(AB)=13.9 [/math] and [math]angB=29deg[/math]. What is the length of [math]bar(AC)[/math]?
  1. 0.4
  2. 12.2
  3. 25.1
  4. 7.7
9. 
Given that AC = 19 and AB = 11, find the measure of Angle B. Round to the nearest whole degree.
Right Triangle ABC v2
  1. [math]60deg[/math]
  2. [math]30deg[/math]
  3. [math]70deg[/math]
  4. [math]85deg[/math]
 
10. 
Given [math] Delta ABC[/math], where [math] AB = 9 " and " ang C = 53deg[/math], find the length of BC.
Right Triangle ABC v1
  1. 14.95
  2. 5.42
  3. 7.19
  4. 11.27
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