Question

Pls help me Here are 2 right triangles. Which ratios of side lengths are equal to tan( α)?

Answer 1

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