Question

мачта парусника имеет высоту 32 м. Из-за ветра верхняя часть мачты наклонилась на 72 см относительно вертикального уха. Насколько большой каблук?

Answer 1

Ответ:

Каблук равен 31,99 м

Пошаговое объяснение:

Объяснение на фото

Answer 2

Calculating the Height of the Heel of the Mast

To calculate the height of the heel of the mast, we can use the given information about the height of the mast and the angle of inclination caused by the wind.

Given: - Height of the mast (h): 32 m - Inclination of the top of the mast (x): 72 cm = 0.72 m

We can use trigonometric functions to calculate the height of the heel of the mast.

Using the tangent function, we can calculate the height of the heel (h_heel) using the formula: tan(θ) = opposite/adjacent

Where: - θ is the angle of inclination caused by the wind - opposite = height of the mast - height of the top of the mast - adjacent = height of the heel of the mast

Calculation

Using the given values: - h = 32 m - x = 0.72 m

We can calculate the height of the heel (h_heel) as follows: tan(θ) = x / h_heel

Rearranging the formula to solve for h_heel: h_heel = x / tan(θ)

Substituting the given values: h_heel = 0.72 / tan(θ)

Now, we can calculate the value of tan(θ) using the given angle of inclination.

Conclusion

Using the given values and the trigonometric function, we can calculate the height of the heel of the mast.