Pearson Algebra 1 Common Core, 2015
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Pearson Algebra 1 Common Core, 2015 View details
6. Trigonometric Ratios
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Exercise 1 Page 649

For the given right triangle, we want to write the ratio for the sine of ∠ A. Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ A.

We see that the length of the hypotenuse is 10. The length of the side adjacent to ∠ A is 6 and the length of the side opposite to ∠ A is 8. With this information, we can find the desired ratio.

Ratio Definition Value
sin A Length of leg opposite∠ A/Length of hypotenuse 8/10=4/5