Question

Solve for the length of the inclined plane if the angle equals 19.45 degrees.

Answer 1

The length of the inclined plane is approximately 12 ft

The situation forms a right angle triangle.

Right triangle

Right triangle have one of its angle as 90 degrees.

Therefore,

The length of the inclined plane is the hypotenuse of the triangle. The length of the inclined plane can be found using trigonometric ratios.

height = 4 ft

angle(∅) = 19.45°

sin 19.45 = 4 / h

h = 4 / 0.33298412235

h = 12.0125847796

h = 12 ft

Therefore, the length of the inclined plane is approximately 12 ft

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