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williamnason123
15.04.2020 •
Mathematics
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
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Ответ:
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:
tan(β) = 1/30Then, 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:
cos(β) = adjacent leg / hypotenusecos(β) = horizontal distance / length of the drainpipelength of the drainpipe = 700cm / cos(.190915º) length of the drainpipe = 700.4 cm ← answerОтвет:
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Step-by-step explanation:
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