Chris needs to build a drainage ditch the ditch must drop 4cm for every 1.5 m of horizontal distance how much will it drop in a horizontals  distance of 30m

To find how much the ditch will drop over a horizontal distance of 30 meters, we can use a ratio based on the given information.

The ratio of drop to horizontal distance is:

\[
\frac{4 \text{ cm}}{1.5 \text{ m}}
\]

Now, to find the drop for 30 meters, we can set up the proportion:

\[
\frac{4 \text{ cm}}{1.5 \text{ m}} = \frac{x \text{ cm}}{30 \text{ m}}
\]

Now, solve for \( x \):

\[
x = \frac{4 \times 30}{1.5}
\]

Let's calculate that:

\[
x = \frac{120}{1.5} = 80 \text{ cm}
\]

So, the ditch will drop **80 cm** over a horizontal distance of 30 meters.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you calculate the slope of a ditch in percentage terms?
2. If Chris extends the ditch to 45 meters, how much will it drop?
3. What would be the total drop if the ditch extended 60 meters?
4. How could you convert this slope into an angle using trigonometry?
5. How does the drop of the ditch affect water flow in terms of speed?

**Tip:** When working with slopes, it's useful to know that multiplying both parts of a ratio by the same number doesn't change the proportional relationship.

Chris needs to build a drainage ditch. The ditch must drop 4 cm for every 1.5 m of horizontal distance. How much will it drop in a horizontal distance of 30 m?

Learn how to calculate the drop of a drainage ditch over a horizontal distance of 30 meters using ratio and proportion. This example explains how a ditch that drops 4 cm for every 1.5 meters will drop a total of 80 cm over 30 meters.

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