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

Answer 1

To solve for the horizontal distance needed for the ramp, we can use trigonometry. The given information is the vertical height of the ramp (6 ft) and the angle of inclination (4.8 degrees).

Let's label the horizontal distance as "x".

Using trigonometry, we can set up the following equation:

tan(4.8°) = 6 / x

To find x, we'll isolate it by multiplying both sides of the equation by x:

x * tan(4.8°) = 6

Now, divide both sides of the equation by tan(4.8°):

x = 6 / tan(4.8°)

Using a calculator, we can find the approximate value of tan(4.8°) which is 0.084193. Substituting this value into the equation:

x = 6 / 0.084193

x ≈ 71.31 ft

Rounded to the nearest hundredth, the horizontal distance needed for the ramp is approximately 71.31 ft.

Answer 2

thats wrong

Answer 3

I apologize for the mistake. Let's solve the equation correctly:

The given vertical height of the ramp is 6 ft and the angle of inclination is 4.8 degrees.

To find the horizontal distance needed for the ramp, we can use the trigonometric function tangent (tan).

tan(angle) = opposite / adjacent,

where the opposite side is the vertical height (6 ft) and the adjacent side is the horizontal distance (x).

tan(4.8°) = 6 ft / x

To solve for x, we isolate it by multiplying both sides of the equation by x:

x * tan(4.8°) = 6 ft

Now, divide both sides of the equation by tan(4.8°):

x = 6 ft / tan(4.8°)

Using a calculator, we find that tan(4.8°) is approximately 0.083915. Substituting this value into the equation:

x = 6 ft / 0.083915

x ≈ 71.41 ft

Rounded to the nearest hundredth, the horizontal distance needed for the ramp is approximately 71.41 ft.