Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)
Long side:20
Slope:30
To find the unknown side length in the given triangle, we will use trigonometry, specifically the sine function.
We know that the sine of an angle in a right triangle is equal to the ratio of the length of the opposite side to the length of the hypotenuse. In this case, the opposite side is the unknown side length, and the hypotenuse is the long side of the triangle.
sin(30°) = Opposite / 20
Opposite = 20 * sin(30°)
Opposite ≈ 20 * 0.5
Opposite ≈ 10
Therefore, the unknown side length is approximately 10 units.