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The base of the ramp is 12.96 feet long.

What is the ratio of cos angle?

The cos angle is defined as the ratio of hypotenuse height or base.

[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

Given

The ramp rises are 14 feet long high and rise at an angle of 22.2 degrees.

Then,

The length of the base is given by;

[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}\\\\\rm Cos22.2=\dfrac{Base}{14\\}\\\\Base= Cos22.2 \times 14\\\\Base=14 \times 0.92\\\\Base=12.96[/tex]

Hence, the base of the ramp is 12.96 feet long.

For more details on Trigonometric ratios follow the link below:

https://brainly.com/question/8162642