Question

Лестничный марш соединяет А и В, расстояние между которыми равно 8 м. Сколько ступеней на лестничном марше, если угол наклона лестницы равен 30 градусов, высота ступени равна 8 см.

Answer 1

Даже если так:
АВ - гипотенуза, ∠А=30°, значит ВС=8:2=4 м (как сторона противолежащая ∠30°).
8 см=0,08 м
4:0,08=50 ступеней

Answer 2

Calculation of the Number of Steps on the Staircase

To calculate the number of steps on the staircase, we need to consider the height of each step and the total vertical distance between points A and B.

Given: - Distance between points A and B = 8 m - Angle of inclination of the staircase = 30 degrees - Height of each step = 8 cm

To find the number of steps, we can use the following formula:

Number of steps = Total vertical distance / Height of each step

The total vertical distance can be calculated using trigonometry. Since we know the distance between points A and B and the angle of inclination, we can use the sine function to find the vertical component of the distance.

Total vertical distance = Distance AB * sin(angle)

Let's calculate the number of steps using the given values:

1. Convert the height of each step to meters: 8 cm = 0.08 m 2. Calculate the total vertical distance: Total vertical distance = 8 m * sin(30 degrees) = 8 m * 0.5 = 4 m 3. Calculate the number of steps: Number of steps = 4 m / 0.08 m = 50 steps

Therefore, there are 50 steps on the staircase.

Please note that the calculation assumes that the staircase is a straight line without any landings or curves.