A right triangle’s hypotenuse is 20 cm long. What is the length of the side opposite a 60° angle? Give your answer to the nearest tenth of a centimeter.

Question


40
40

18.5
18.5

20
20

17.3
17.3

Answer 1

The length of the side opposite a 60° angle in a right triangle can be calculated using trigonometry. Specifically, you can use the sine function:

sin(60°) = opposite side / hypotenuse

sin(60°) = x / 20
x = 20 * sin(60°)
x ≈ 17.3 cm

Therefore, the length of the side opposite a 60° angle in this right triangle is approximately 17.3 cm. So, the answer is 17.3.