Answer:
7.878 ft far
Step-by-step explanation:
Given:
- A ramp is to be lifted to an angle Q = 10 degrees
- The total length of the ramp L = 8 ft
Find:
- how far does the ramp need to be away to hit the edge of the step
Solution:
- The question asks in "other words" the horizontal distance (d) from the ramp pivot on the floor to the edge of the step when it is lifted 10 degrees.
- We will use trigonometry to solve a right angle triangle: The horizontal distance is a projection of Length L on to the flat ground surface. Hence, we have:
cos(Q) = d / L
d = L*cos(Q)
- Plug in values:
d = 8*cos(10)
Answer: d = 7.878 ft