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Common Core Standard HSG-SRT.C.6 Questions

Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

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Grade 11 Trigonometry CCSS: HSG-SRT.C.6
[math]Delta ABC[/math] and [math]Delta QRS[/math] are both right triangles, where [math]ang B[/math] and [math]ang R[/math] are right angles. If [math]cos(C) = cos(S)[/math], which of the following is correct?
  1. [math]Delta ABC[/math] must be congruent to [math]Delta QRS[/math].
  2. [math]Delta ABC[/math] must be similar to [math]Delta QRS[/math].
  3. [math]Delta ABC[/math] and [math]Delta QRS[/math] may or may not be similar, but there's not enough information to be certain.
  4. [math]Delta ABC[/math] and [math]Delta QRS[/math] are not similar.
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
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]
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
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]
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