Question

Як знайти довжину проекції якщо відомий перпендикуляр і похила?​

Answer 1

Ответ:

A+B+C*2:8

Объяснение:

Answer 2

Finding the Length of a Projection Given the Perpendicular and Hypotenuse

To find the length of a projection when the perpendicular and hypotenuse are known, you can use trigonometric functions. Specifically, you can use the sine function to calculate the length of the projection.

Step 1: Identify the Relevant Trigonometric Function The sine function is used to relate the opposite side and the hypotenuse in a right-angled triangle. The formula for sine is: ``` sin(θ) = opposite / hypotenuse ``` Where θ is the angle between the perpendicular and the hypotenuse.

Step 2: Calculate the Length of the Projection To find the length of the projection (opposite side), you can rearrange the sine function formula: ``` opposite = hypotenuse * sin(θ) ``` Where: - opposite = length of the projection - hypotenuse = length of the hypotenuse - θ = angle between the perpendicular and the hypotenuse

By substituting the known values for the hypotenuse and the angle into the formula, you can calculate the length of the projection.

Example Calculation Let's say the hypotenuse is 10 units long and the angle between the perpendicular and the hypotenuse is 30 degrees. Using the formula: ``` opposite = 10 * sin(30°) ``` ``` opposite ≈ 10 * 0.5 opposite ≈ 5 units ``` So, the length of the projection would be approximately 5 units.

This method allows you to find the length of the projection when the perpendicular and hypotenuse are known.