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

Explanation:

The ratio of the vertical drop to the horizontal distance covered is 1 cm / 30 cm.

If you draw the drainpipe as a straight line, the angle of inclination, β, will be such that:

Then, β = arctan(1/30) = 1.90915º

Now you can relate the length of the drainpipe with the angle and the horizontal distance with the trigonometric ratio cosine:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours