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Trigonometry and Right Triangle Relationships Flashcards

6 cards from real BMST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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

    Answer: 3/5

    Sine is defined as opposite/hypotenuse. With opposite = 3 and hypotenuse = 5, sin(θ) = 3/5 = 0.6.

  2. A ladder leans against a wall making a 60° angle with the ground. If the ladder is 10 meters long, how high up the wall does it reach?

    Answer: 8.66 m

    The height = 10 × sin(60°) = 10 × (√3/2) ≈ 8.66 m. The side opposite to the 60° angle is found using sine.

  3. If cos(θ) = 0.5, what is the angle θ?

    Answer: 60°

    cos(60°) = 0.5 is a standard reference angle. Memorizing the cosine of 30°, 45°, and 60° is essential for BMST math.

  4. In a right triangle with legs of length 5 and 12, what is the tangent of the angle opposite the side of length 5?

    Answer: 5/12

    Tangent = opposite/adjacent. The side opposite the angle is 5, and the adjacent side is 12, so tan(θ) = 5/12.

  5. A right triangle has an angle of 45°. If the hypotenuse is 10, what are the lengths of each leg?

    Answer: 7.07 each

    At 45°, the triangle is isosceles. Each leg = 10 × sin(45°) = 10 × (√2/2) ≈ 7.07.

  6. Which trigonometric ratio compares the adjacent side to the hypotenuse?

    Answer: Cosine

    Cosine (CAH) = Adjacent / Hypotenuse. Sine = Opposite / Hypotenuse, and Tangent = Opposite / Adjacent.