Use Opposite over Hypotenuse - Practice 1

For an acute angle in a right triangle, sine is opposite-side length divided by hypotenuse length.

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For an acute angle in a right triangle, sine is opposite-side length divided by hypotenuse length. Identify the side opposite the named angle before taking the ratio.

Worked example

If the opposite side is 3 and the hypotenuse is 5, sine is 3/5. The adjacent side is not used in this ratio.

Would you believe it?

Doubling every length in a figure multiplies its area by four, not by two.

Question 1 For an acute angle, the opposite side is 6 and the hypotenuse is 10. Which fraction is its sine? 3/5 5/3 4/5

Question 2 For an acute angle, the opposite side is 8 and the hypotenuse is 10. Which fraction is its sine? 5/4 3/5 4/5

Question 3 For an acute angle, the opposite side is 10 and the hypotenuse is 26. Which fraction is its sine? 12/13 5/13 13/5

Question 4 For an acute angle, the opposite side is 24 and the hypotenuse is 26. Which fraction is its sine? 12/13 13/12 5/13

Question 5 For an acute angle, the opposite side is 16 and the hypotenuse is 34. Which fraction is its sine? 17/8 15/17 8/17

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