Answer:
7.68ft
Step-by-step explanation:
Given
Length of Ramp = 8 ft
Angle with the ground = 6°
Required
Distance between ramp and the building.
To calculate this, first, it should be understood that the ramp forms a triangle with the wall with the following parameters.
Hypothenus = Length of ramp
Adjacent = Distance between ramp and wall
Opposite = Height of wall.
Further...
Hypothenus = 8ft
θ = 6°
Adjacent = ?
The relationship between θ, the adjacent and the hypothenus is the cosine function.
Cos(θ) = Adj/Hyp
Cos(6°) = Adj/8
Adj = 8Cos(6°)
Adj = 8 * 0.960170286650366
Adj = 7.681362293202928
Adj = 7.68 (Approximated)
Recall that Adjacent represents the distance between ramp and the wall.
So, distance = 7.68ft
