Driving down a mountain, torn finds that he has descended 1800 ft in elevation by the time he is 3.25mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
2,175
To find the slope of Torn's descent, we need to calculate the ratio of the change in elevation (in feet) to the horizontal distance traveled (in miles). Let's break down the steps:
1. Convert 3.25 miles to feet: Since 1 mile is equal to 5280 feet, multiply 3.25 by 5280.
3.25 miles * 5280 feet/mile = 17,160 feet
2. Divide the change in elevation by the horizontal distance traveled:
Slope = Change in elevation / Horizontal distance traveled
Slope ≈ 2,175 ft / 17,160 ft ≈ 0.1267
To get the slope to the nearest hundredth, we round the value to two decimal places:
Slope ≈ 0.13
Therefore, the slope of Torn's descent is approximately 0.13.