Question
The ratio of vertical distance to horizontal distance for a flight of stairs is 3 m to 4 m. Determine the angle that the steps make with the ground, to the nearest degree
Answers
Answered by
GPT 3.5
To determine the angle that the steps make with the ground, we can use trigonometry.
Let the vertical distance be 3m and horizontal distance be 4m. The angle that the steps make with the ground can be found using the tangent function:
tan(angle) = vertical distance / horizontal distance
tan(angle) = 3 / 4
angle = arctan(3/4)
angle ≈ 36.87 degrees
Therefore, the angle that the steps make with the ground is approximately 37 degrees.
Let the vertical distance be 3m and horizontal distance be 4m. The angle that the steps make with the ground can be found using the tangent function:
tan(angle) = vertical distance / horizontal distance
tan(angle) = 3 / 4
angle = arctan(3/4)
angle ≈ 36.87 degrees
Therefore, the angle that the steps make with the ground is approximately 37 degrees.