Right-Angled Triangles and Tangent Ratio Quiz
5 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

In the given right-angled triangles, what is the relationship between the angles θ and φ?

  • tan θ = (3x - 2) / (11x + 30) and tan φ = (5x + 3) / (5)
  • tan θ = (3x - 2) / (5x + 3) and tan φ = (11x + 30) / (5) (correct)
  • tan θ = tan φ
  • tan θ = (5x + 3) / (3x - 2) and tan φ = (5) / (11x + 30)

    • If tan θ = tan φ, what is the value of x?

  • x = 1.67
  • x = 4.33
  • x = 3.67
  • x = 2.33 (correct)

    • If the value of x is 2.33, what is the value of tan θ and tan φ?

  • tan θ = tan φ = 0.667
  • tan θ = tan φ = 2.33
  • tan θ = tan φ = 3.17
  • tan θ = tan φ = 1.50 (correct)

    • What is the value of $\sin \theta$ if $\tan \theta = \frac{3x - 2}{5x + 3}$ and $x = 2.33$?

    <p>$\sin \theta = 0.600$</p> Signup and view all the answers

    If $\tan \phi = \frac{11x + 30}{5}$ and $x = 2.33$, what is the value of $\cos \phi$?

    <p>$\cos \phi = 0.750$</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser