6. Trigonometric Ratios
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Start by identifying the hypotenuse of the right triangle. Then find the sides that are opposite and adjacent to ∠A.
4/5
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 |