In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. What is the length of the side opposite the 30° angle?
Q1. In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. What is the length of the side opposite the 30° angle?
Answer: 5 cm
Explanation: The sine of 30° equals the ratio of the length of the side opposite the 30° angle to the hypotenuse. Since sin(30°) = 0.5, the length is 10 * 0.5 = 5 cm, using the formula sin(angle) = opposite/hypotenuse.