Respuesta :

Given :

Hight of the van from the ground, h = 3 feet.

The ramp into the van makes a 12° angle with the ground.

To Find :

How long is the ramp.

Solution :

Let, length of ramp is l .

So, height of ramp in terms of length is given by :

[tex]h = l \times sin\ 12^o\\\\l = \dfrac{h}{sin \ 12^o}\\\\l = \dfrac{3}{sin \ 12^o}\\\\l = 14.429 \ feet[/tex]

Hence, this is the required solution.

The ramp should be 14.429 feet.

Given that,

  • He floor of a moving van is 3 feet off of the ground.
  • The ramp into the van makes a 12° angle with the ground.

Based on the above information, the calculation is as follows:

[tex]h = l\times sin 12^{\circ}\\\\l = h \div sin 12^{\circ}\\\\= 3\div sin 12^{\circ}[/tex]

= 14.429 feet

Learn more: brainly.com/question/17429689