Solve your equation to find the horizontal distance needed for the ramp. Round to the nearest hundredth (2 decimal places). 4.8 degrees and hight 6ft

Answer 1

To solve for the horizontal distance needed for the ramp, we can use the trigonometric function tangent.

The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the angle is 4.8 degrees and the height is 6ft.

Let's denote the horizontal distance as "x". The opposite side is the height (6ft), and the adjacent side is the horizontal distance (x).

Thus, we can write the equation as:

tan(4.8) = 6/x

To solve for x, we can rearrange the equation:

x = 6 / tan(4.8)

Using a scientific calculator, we find:

x ≈ 79.72

Rounded to the nearest hundredth, the horizontal distance needed for the ramp is approximately 79.72 feet.