Slope in real world problems quick check
1. A ski slope has an incline of 30 degrees. What is the slope of the ski slope?
Answer: The slope of the ski slope is the tangent of the angle of incline, which is 30 degrees. So, the slope is tan(30) = 0.577.
2. A road has a slope of 5%. What is the slope of the road?
Answer: The slope of the road is given as a percentage, which is the rise over the run. In this case, the slope is 5%, which means that for every 100 units of horizontal distance, there is a 5-unit increase in elevation. This can be expressed as a ratio of rise over run, which is 5/100 = 0.05.
3. A staircase has a rise of 10 feet over a run of 20 feet. What is the slope of the staircase?
Answer: The slope of the staircase is the rise over the run, which is 10/20 = 0.5. This means that for every 1 foot of horizontal distance on the staircase, there is a 0.5 foot increase in elevation.