West of a city, a certain eastbound route is straight and makes a steep descent toward the city. the highway has a 11% grade, which means that its slope is − 11 100 . driving on this road, you notice from elevation signs that you have descended a distance of 1000 ft. what is the change in your horizontal distance in miles?

1.721 miles

Explanation:

Given:

Grade = 11%

i.e for every 11 ft of descend horizontal distance is 100 ft

or

for every 1 ft of descend horizontal distance is  ft

therefore,

For the descend of 1000 ft horizontal distance =  ft

or

= 9090.90 ft

Also,

1 mile = 5280 ft

or

1 ft = 0.000189394 miles

therefore,

9090.90 ft = 9090.90 ft × 0.000189394 miles

= 1.721 miles