Question

A right triangle has one angle of 28.1° and a hypotenuse of length 17. Determine the length of the side opposite the 28.1° angle.(1 point)
Responses

The side opposite the second triangle’s 28.1° angle has length 30.
The side opposite the second triangle’s 28.1° angle has length 30.

The side opposite the second triangle’s 28.1° angle has length 32.
The side opposite the second triangle’s 28.1° angle has length 32.

The side opposite the second triangle’s 28.1° angle has length 8.
The side opposite the second triangle’s 28.1° angle has length 8.

The side opposite the second triangle’s 28.1° angle has length 12.

Answer 1

Opposite = hypotenuse × sin(angle) = 17 × sin(28.1°) ≈ 17 × 0.47103 ≈ 8.01 ≈ 8.

So the correct choice is 8.