Mathematics

Mathematics

Problem

66. Highway Engineering Interstate 70 west of Denver, Colorado, has a section posted as a 6%6 \% grade. This means that for a horizontal change of 100 ft there is a 6−ft6-\mathrm{ft} vertical change. ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/5ed8693616b1/2025_11_21_4eae6df6524c2d5cc17fg-14.jpg) (a) Find the slope of this section of the highway. (b) On a highway with a 6%6 \% grade what is the horizontal distance required to climb 250 ft ? (c) A sign along the highway says 6%6 \% grade for the next 7 mi . Estimate how many feet of vertical change there are along those 7 mi . (There are 5280 ft in 1 mile.)

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