Trigonometric Ratios

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Q. If a tree casts a shadow of 10 meters and the angle of elevation to the top of the tree is 45 degrees, what is the height of the tree?
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. If cos(θ) = 0.8, what is the value of θ in degrees (to the nearest degree)?
  • A. 36
  • B. 45
  • C. 60
  • D. 64
Q. If sin(θ) = 0.6, what is the value of cos(θ) using the Pythagorean identity?
  • A. 0.8
  • B. 0.6
  • C. 0.4
  • D. 0.2
Q. If sin(θ) = 0.6, what is θ in degrees (to the nearest degree)?
  • A. 36
  • B. 45
  • C. 60
  • D. 70
Q. If sin(θ) = 0.8, what is the value of θ in degrees?
  • A. 30
  • B. 45
  • C. 53.13
  • D. 60
Q. In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?
  • A. 3/5
  • B. 5/3
  • C. 4/5
  • D. 1/2
Q. Which of the following is the correct identity for sin²(θ) + cos²(θ)?
  • A. 1
  • B. 0
  • C. sin(θ)
  • D. cos(θ)
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