A roadway rises 240 ft for each 2,600 ft of horizontal distance. (See the figure below.) 2,600 ft- 240 ft Ⓡ (a) Find the angle f inclination of the roadway (in degrees). (Round your answer to the nearest tenth of a degree.) (b) The percentage grade of a roadway is its slope written as a percent. (For example, a slope of 0.25 would have a percent grade of 25%.) Find the percentage grade of this roadway. (Round your answer to the nearest tenth of a percent.) %

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A roadway rises 240 ft for each 2,600 ft of horizontal distance. (See the figure below.)
2,600 ft
240 ft
Ⓡ
(a) Find the angle of inclination of the roadway (in degrees). (Round your answer to the nearest tenth of a degree.)
(b) The percentage grade of a roadway is its slope written as a percent. (For example, a slope of 0.25 would have a percent grade of 25%.) Find the percentage grade of this roadway. (Round your answer to the nearest tenth of a percent.)
%
Transcribed Image Text:A roadway rises 240 ft for each 2,600 ft of horizontal distance. (See the figure below.) 2,600 ft 240 ft Ⓡ (a) Find the angle of inclination of the roadway (in degrees). (Round your answer to the nearest tenth of a degree.) (b) The percentage grade of a roadway is its slope written as a percent. (For example, a slope of 0.25 would have a percent grade of 25%.) Find the percentage grade of this roadway. (Round your answer to the nearest tenth of a percent.) %
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