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In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is

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Question: In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?

Options:

  1. 3/5
  2. 5/3
  3. 4/5
  4. 1/2

Correct Answer: 3/5

Solution: 

sin(θ) = opposite/hypotenuse = 3/5

In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is

Practice Questions

Q1
In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?
  1. 3/5
  2. 5/3
  3. 4/5
  4. 1/2

Questions & Step-by-Step Solutions

In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?
  • Step 1: Identify the sides of the right triangle. The opposite side is given as 3.
  • Step 2: Identify the hypotenuse of the triangle. The hypotenuse is given as 5.
  • Step 3: Recall the formula for sine in a right triangle: sin(θ) = opposite / hypotenuse.
  • Step 4: Substitute the values into the formula: sin(θ) = 3 / 5.
  • Step 5: Simplify the fraction if necessary, but in this case, it remains 3/5.
  • Trigonometric Ratios – Understanding the definition of sine as the ratio of the length of the opposite side to the hypotenuse in a right triangle.
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