West of a city, a certain eastbound route is straight and makes a steep descent toward the city. The highway has a 12% grade, which means that its slope is - 12/100. 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? (Round your answer to two decimal places.)

Question

Mathematics

Gunnar Lara

1 March, 07:53

West of a city, a certain eastbound route is straight and makes a steep descent toward the city. The highway has a 12% grade, which means that its slope is - 12/100. 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? (Round your answer to two decimal places.)

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Maria · Answer 1

120 ft

Step-by-step explanation:

A slope of 12/100 means for every 12 units of distance you move horizontally you descend by 100 of the same units vertically. Assuming now that the slope does not change, i. e it remains constant throughout your trip; descending by 1000 ft should mean you have moved horizontally by 120 ft so that the slope is maintained.

x/1000 = 12/100

x = 120 ft