Use Opposite over Hypotenuse - Practice 2

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 9 and the hypotenuse is 15. Which fraction is its sine? 4/5 3/5 5/3

Question 2 For an acute angle, the opposite side is 12 and the hypotenuse is 15. Which fraction is its sine? 4/5 5/4 3/5

Question 3 For an acute angle, the opposite side is 15 and the hypotenuse is 39. Which fraction is its sine? 13/5 12/13 5/13

Question 4 For an acute angle, the opposite side is 36 and the hypotenuse is 39. Which fraction is its sine? 5/13 12/13 13/12

Question 5 For an acute angle, the opposite side is 24 and the hypotenuse is 51. Which fraction is its sine? 8/17 17/8 15/17

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