Question

З однієї точки до даної прямої проведено дві похилі, одна похила 17см її проекція 15см.Похила А 10см. Знайти її проекцію

Answer 1

Відповідь: 6 см

Пояснення: прикріплюю на фото

Answer 2

Finding the Projection of the Slope

To find the projection of the slope, we can use the given information about the two slopes and their respective projections.

Given: - Length of the slope: 17 cm - Length of its projection: 15 cm - Length of another slope: 10 cm

We can use the concept of similar triangles to find the projection of the second slope.

Using Similar Triangles to Find the Projection

The relationship between the lengths of the slope and its projection can be expressed using the concept of similar triangles. When two triangles are similar, the ratio of their corresponding sides is constant.

Let's denote: - Length of the second slope: 10 cm - Length of its projection: x (to be found)

We can set up a proportion to find the length of the projection of the second slope: ``` 17 / 15 = 10 / x ```

Solving for the Projection

To find the length of the projection of the second slope, we can solve the proportion: ``` 17 / 15 = 10 / x ``` Cross-multiplying gives: ``` 17x = 10 * 15 ``` Solving for x: ``` x = (10 * 15) / 17 ``` ``` x ≈ 8.82 cm ```

Conclusion

The projection of the second slope is approximately 8.82 cm.