Answer:
12.58 feet.
Step-by-step explanation:
Ron wants to build a 14 ft. ramp with an angle of the rise of 26° and the height of the ramp is about 6.1 ft.
We have to find out the length of the base of the ramp.
Now, the ramp forms a right triangle with the base and the height and here, the hypotenuse of the triangle is the ramp itself i.e. 14 ft.
If the base length is x feet, then we can write using the trigonometry
[tex]\cos 26^{\circ} = \frac{\textrm{Base}}{\textrm {Hypotenuse}} = \frac{x}{14}[/tex]
⇒ x = 14 cos 26° = 12.58 feet. (Answer)
