3.7 pt2 geometry 10th grade

Question

You want to construct a fun box at a local skate park. The skate parks regulations allow for the ramp on the fun box to have a maximum slope of 4/11. If you use the fun box plan at the right can you build the ramp to meet the safety regulations? Explain

What information do you have that you can use to find the slope?

How can you compare slopes?

ramp: 72 in width, box: 24 in long

Answer 1

Hey! To begin, I had to look up what a fun box is in skating (pictures always help)!

Assuming it is a box (it seems these always have a ramp on opposing sides), the length of the box is 24 inches. Assuming that you could correlate the width of the ramp(s) to its height, then we were told that it is 72 inches.

In real scenarios, the slope is found by taking the ratio of height to length. Or (height/length). In our case, we have:

24 inches/ 72 inches.

This reduces to 1/3. Your next step would be to find a common denominator between 1/3 and 4/11, in order to compare the two. And then, to answer the question, it must be less than/equal to 4/11.

Otherwise, you and the skate park aren't gonna be on great terms!

Hope this helps!