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# slope problem

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if a slope is 4/9 on graph paper and each cube is 100 meters how long is the slope?

May 30, 2023

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If the slope on graph paper has a slope of 4/9, this means that for every 4 units in the vertical direction, there are 9 units in the horizontal direction. We can use this ratio to find the length of the slope in meters.

Let's assume that the slope rises 4 units in the vertical direction for every 9 units in the horizontal direction. This means that the slope has a rise of 4 cubes and a run of 9 cubes on the graph paper. Since each cube represents 100 meters, the rise of the slope is 4 x 100 = 400 meters and the run of the slope is 9 x 100 = 900 meters.

To find the length of the slope, we can use the Pythagorean theorem:

length^2 = rise^2 + run^2

Substituting the values we found, we get:

length^2 = (400)^2 + (900)^2

Simplifying, we get:

length^2 = 160000 + 810000

length^2 = 970000

Taking the square root of both sides, we get:

length = sqrt(970000) = 985 meters (rounded to the nearest meter)

Therefore, the length of the slope is approximately 985 meters.

May 31, 2023