Respuesta :
Answer:
Length of the drainpipe = 700.7 cm
Step-by-step explanation:
Given a builder makes drainpipes that drop 1 cm over a horizontal distance of 30cm to prevent clogs. The ratio of the vertical drop to the horizontal distance covered is [tex]\frac{1}{30}[/tex] cm.
The angle of inclination,
tan(θ) = [tex]\frac{1}{30}[/tex]
θ = 1.9º
By trignometric ratio,
cos(θ) = [tex]\frac{horizontal distance}{length of the drainpipe}[/tex]
length of the drainpipe = [tex]\frac{700}{cos(1.91)}[/tex] = [tex]\frac{700}{0.999}[/tex]
length of the drainpipe = 700.7 cm
Answer:
The correct Answer for Khan Academy is 700.4
Step-by-step explanation: