A builder makes drainpipes that drop 1 cm over a horizontal distance of 30cm to prevent clogs a certain drainpipe needs to cover a horizontal distance of 700cm whats is the length of the drainpipe? round your answer to the nearest tenth of a centimeter

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:

ACCESS MORE