Is this correct or wrong?
Technology. Driving down a mountain, Tom finds that he has descended 1800ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
so i would change miles to feet first:
3.25(5280)=17160ft
so then:
17160/1800 = 9.53 which will be=9.6
To find the slope of Tom's descent, you need to calculate the ratio of the vertical change to the horizontal change. Here's how you can do it:
1. Change the distance from miles to feet:
You correctly converted 3.25 miles to feet by multiplying it by 5280: 3.25 * 5280 = 17,160 feet.
2. Determine the vertical change:
Tom descended 1800 feet in elevation.
3. Calculate the slope:
To find the slope, divide the vertical change by the horizontal change: 1800/17,160 = 0.1048951049.
To round the slope to the nearest hundredth, you would round it to two decimal places, which gives you 0.10.
Therefore, the slope of Tom's descent is 0.10.