Solution
- The illustration described can be sketched as follows:
- From the above diagram, we can observe that the ramp forms a right-angled triangle with the ground.
- The Opposite of the triangle is 2.8 feet, the angle made by the ramp with the ground is 5 degrees., whilethe length of the ramp is labeled as x.
- Thus, we can apply SOHCAHTOA to find the value of x as follows:
[tex]\begin{gathered} \sin\theta=\frac{Opposite}{Hypotenuse} \\ \\ \theta=15\degree,Opposite=2.8,Hypotenuse=x \\ \text{ Thus, we have:} \\ \sin15\degree=\frac{2.8}{x} \\ \\ \therefore x=\frac{2.8}{\sin15\degree} \\ \\ x=10.8183692544...\approx10.82ft \end{gathered}[/tex]
Final Answer
The length of the ramp is 10.82 feet
