The americans with disabilities act sets a maximium angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to occomidate a ramp that goes up to a door.

Respuesta :

Answer:

d = 48.03 feet

Step-by-step explanation:

Given that,

The maximum angle for a wheelchair ramp entering a business at 4.76 degrees.

We need to find the horizontal distance needed to accomidate a ramp that goes up to a door 4 feet of the ground.

We can solve it using trigonometry.

[tex]\tan\theta=\dfrac{h}{d}[/tex]

Where

h is height

d is the angle of elevation

[tex]d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{4}{\tan(4.76)}\\\\d=48.03\ ft[/tex]

So, the horizontal distance is equal to 48.03 feet.