Find the length of an inclined plane that will reach a 10 ft high platform at an angle of 25 degrees.
Find the length of incline plane that will teach a 10 meter high platform at an angle of 30 degree
To find the length of an inclined plane that will reach a 10 ft high platform at an angle of 25 degrees, you can use trigonometry.
The formula to calculate the length of an inclined plane is:
Length = Height / sin(Angle)
Given:
Height (H) = 10 ft
Angle (A) = 25 degrees
1. Convert the angle from degrees to radians:
Angle (in radians) = Angle (in degrees) * pi / 180
Angle (in radians) = 25 * pi / 180
2. Use the formula to calculate the length:
Length = Height / sin(Angle)
Length = 10 / sin(25 * pi / 180)
3. Calculate the length using a calculator:
Length ≈ 23.55 ft
Therefore, the length of the inclined plane needed to reach a 10 ft high platform at an angle of 25 degrees is approximately 23.55 ft.
To find the length of the inclined plane that will reach a 10 ft high platform at an angle of 25 degrees, we can use trigonometry.
Let's consider a right triangle where the inclined plane represents the hypotenuse, the height of the platform represents the opposite side, and the length of the inclined plane represents the adjacent side.
We can use the trigonometric function tangent (tan) to relate the angle to the sides of the triangle:
tan(angle) = opposite side / adjacent side
In this case, the angle is 25 degrees, the opposite side is the height of the platform (10 ft), and we need to find the adjacent side (length of the inclined plane).
Rearranging the formula, we have:
adjacent side = opposite side / tan(angle)
Calculating the value:
adjacent side = 10 ft / tan(25 degrees)
Using a scientific calculator, we can find the tangent of 25 degrees:
tan(25 degrees) ≈ 0.4663
Now, we can substitute the values:
adjacent side ≈ 10 ft / 0.4663
adjacent side ≈ 21.47 ft
Therefore, the length of the inclined plane that will reach a 10 ft high platform at an angle of 25 degrees is approximately 21.47 feet.
Just solve
10/L = sin25°