If an incline has a difference in height from one end to the other of 17.8 cm and has a length along the incline of 1.19 m, what is the angle that the incline makes with the horizontal reference surface?

cos (angle) = .178/1.19

So the answer is 81.4? My online homework says that it is wrong?

arcsin(.178/1.19)=8.603

Arctan(.178/1.19) = 8.5072

To find the angle that the incline makes with the horizontal reference surface, we can use trigonometry. The angle we are looking for is the angle between the incline and the horizontal surface.

We can use the tangent function to find this angle. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side of a right triangle. In this case, the height difference of the incline (opposite side) and the length of the incline (adjacent side) form a right triangle.

So, we have:

tan(angle) = (opposite side) / (adjacent side)

In this case, the opposite side is the height difference of the incline, which is 17.8 cm, and the adjacent side is the length of the incline, which is 1.19 m. However, we need to convert both measurements to the same units before we can proceed with the calculation.

1 meter is equal to 100 centimeters, so the adjacent side (length) in centimeters is:

1.19 m * 100 cm/m = 119 cm

Now, we can substitute the values into the equation:

tan(angle) = 17.8 cm / 119 cm

To find the angle, we need to take the arctangent (inverse tangent) of both sides of the equation.

angle = arctan(17.8 cm / 119 cm)

Using a calculator, we find that the angle is approximately 8.80 degrees.

Therefore, the incline makes an angle of approximately 8.80 degrees with the horizontal reference surface.