Answer:
23.9 ft (nearest tenth)
Step-by-step explanation:
Use the sine trig ratio to find the length of the ramp.
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
- [tex]\theta[/tex] is the angle
- O is the side opposite the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- [tex]\theta[/tex] = 4.8°
- O = height of ramp = 2 ft
- H = length of ramp
Substituting the given values into the formula and solving for H:
[tex]\implies \sf \sin(4.8^{\circ})=\dfrac{2}{H}[/tex]
[tex]\implies \sf H=\dfrac{2}{\sin(4.8^{\circ})}[/tex]
[tex]\implies \sf H=23.9\:ft\:(nearest\:tenth)[/tex]
