Answer:
tan(α) = y ÷ x
tan(α) = r ÷ q
Explanation:
The three sides of a right-angled triangle have specific names:
- The hypotenuse (H) is the longest side. It is opposite the right angle.
- The opposite side (O) is opposite the angle in question.
- The adjacent side (A) is next to the angle in question.
Using the trig ratio tan(α) = O ÷ A
For the left triangle, the side OPPOSITE the angle is y, and the side ADJACENT to the angle is x. Therefore, tan(α) = y ÷ x
For the right triangle, the side OPPOSITE the angle is r, and the side ADJACENT to the angle is q. Therefore, tan(α) = r ÷ q