What is the formula for finding the height of an object located on an inclined plane with a given angle of elevation?

To find the height of an object located on an inclined plane with a given angle of elevation, you can use trigonometry and the following formula:

Height = Distance * sin(angle)

Here's how to use the formula step by step:

1. Measure the distance along the inclined plane from the base to the object. Let's call it "Distance."

2. Measure the angle between the inclined plane and the ground. This angle is known as the angle of elevation.

3. Convert the angle of elevation to radians if it's given in degrees. To convert degrees to radians, multiply the degree value by π/180.

4. Calculate the sine of the angle of elevation using a scientific calculator or lookup table.

5. Multiply the Distance by the sine of the angle of elevation to find the height of the object.

For example, suppose you measure a distance of 10 meters along an inclined plane, and the angle of elevation is 30 degrees. To find the height of the object:

Step 3: Convert the angle of elevation to radians: 30 * π/180 = 0.5236 radians (approximately).

Step 4: Calculate the sine of the angle of elevation: sin(0.5236) = 0.5 (approximately).

Step 5: Multiply the distance by the sine of the angle: 10 * 0.5 = 5 meters.

Therefore, the height of the object above the base of the inclined plane is 5 meters.

To find the height of an object located on an inclined plane with a given angle of elevation, you can use trigonometry. The formula for finding the height is:

Height = Distance * sin(Angle of Elevation)

Here, "Distance" represents the distance along the inclined plane or the horizontal distance from the base of the inclined plane to the object. "Angle of Elevation" represents the angle between the inclined plane and the horizontal line.

By multiplying the distance by the sine of the angle of elevation, you can calculate the vertical height of the object.