Trigonometry Example

Problem: A right triangle has an angle of 30∘30^\circ30∘ and the hypotenuse is 10. Find the opposite side.

Solution: sin⁡(30∘)=oppositehypotenuse\sin(30^\circ) = \frac{\text{opposite}}{\text{hypotenuse}}sin(30∘)=hypotenuseopposite​ 12=opposite10\frac{1}{2} = \frac{\text{opposite}}{10}21​=10opposite​ opposite=5\text{opposite} = 5opposite=5

Opposite side = 5