is the trigonometric ratio that relates the perpendicular to the hypotenuse in a right-angled triangle.

The trigonometric ratio that relates the perpendicular to the hypotenuse in a right-angled triangle is known as the sine (sin). Here's how you can calculate it:

Step 1: Identify the sides of the right-angled triangle. The side opposite the right angle is the hypotenuse. The side opposite the angle you're considering is the perpendicular (also known as the opposite), and the remaining side is the base (or adjacent).

Step 2: The sine of the angle is calculated as the length of the perpendicular (opposite) divided by the length of the hypotenuse. So, if you know these lengths, you can calculate the sine.

Formula: sin(θ) = Opposite / Hypotenuse

Remember, this ratio stays the same no matter how big or small the triangle is. So if you know the angle, you can find the ratio and vice