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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
ΔABC ~ ΔXYZ, and ∠C and ∠Z are right angles. Which of the following is/are definitely true? There may be more than one correct answer.
  1. sin(X)=BCAB
  2. tan(B)=XZYZ
  3. cos(A)=ACXY
  4. tan(A)=BCXZ
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
ΔCDE ~ ΔHJK, and ∠D and ∠J are right angles. Which of the following is/are definitely true? Choose all correct answers.
  1. sin(E)=CDCE
  2. cos(E)=DEHK
  3. sin(K)=CDCE
  4. cos(K)=DECE
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
ΔABC and ΔQRS are both right triangles, where ∠B and ∠R are right angles. If cos(C)=cos(S), which of the following is correct?
  1. ΔABC must be congruent to ΔQRS.
  2. ΔABC must be similar to ΔQRS.
  3. ΔABC and ΔQRS may or may not be similar, but there's not enough information to be certain.
  4. ΔABC and ΔQRS are not similar.
Grade 11 Trigonometry CCSS: HSG-SRT.C.6
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°
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