Find the length of an inclined plane that will reach a platform 8ft high and form 16degree with the ground

L = 8 / sin16 = 29ft.

Find the length an inclined plane that will reach a platform 8 ft high and form 16° with the ground

Find the length an inclined plane that will reach a platform 8 ft high and form 16° with the ground

With given illustration formula solution and conclusion

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To find the length of an inclined plane, we can use trigonometry, specifically the sine function.

In this case, we have the height of the platform (8 ft) and the angle formed by the inclined plane with the ground (16 degrees). We want to find the length of the inclined plane.

First, let's define the trigonometric relationship involved:

sin(angle) = opposite/hypotenuse.

In this scenario, we can consider the height of the platform as the opposite side and the length of the inclined plane as the hypotenuse.

Using this relationship, we write:

sin(16 degrees) = 8 ft / length of the inclined plane.

Now, we can solve for the length of the inclined plane:

length of the inclined plane = 8 ft / sin(16 degrees).

To calculate this, you can use a scientific calculator or an online trigonometric calculator that has an option to enter angles in degrees.

By substituting the values into the equation, we find:

length of the inclined plane = 8 ft / sin(16 degrees) ≈ 29.35 ft (rounded to two decimal places).

Hence, the length of the inclined plane that will reach a platform 8 ft high and form a 16-degree angle with the ground is approximately 29.35 ft.