Question

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. (1 point) Responses 40 40 18.5 18.5 20 20 17.3

Answer 1

The length of the side opposite a 60° angle in a right triangle can be calculated using the formula: \( \text{Opposite side} = \text{Hypotenuse} \times \sin(60°) \).

Given that the hypotenuse is 20 cm long, we have:
\( \text{Opposite side} = 20 \times \sin(60°) \)
\( \text{Opposite side} = 20 \times 0.86602540378 \)
\( \text{Opposite side} = 17.32 \)

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