Answer: [tex]16.56\ ft[/tex]
Step-by-step explanation:
You must draw a right triangle as the one attached, where "x" is the lenght in feet of the ramp.
You need to use the following Trigonometric Identity:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
In this case you can identify that:
[tex]\alpha =25\°\\\\opposite=7\\\\hypotenuse=x[/tex]
Now you must substitute these values into [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]:
[tex]sin(25\°)=\frac{7}{x}[/tex]
Finally, you must solve for "x" in order to find its value.
This is:
[tex]sin(25\°)=\frac{7}{x}\\\\xsin(25\°)=7\\\\x=\frac{7}{sin(25\°)}\\\\x=16.56[/tex]
