A road sign shows that a hill has a grade of 8%. What is the angle of inclination of the hill, to the nearest tenth of a degree?
A grade of X% corresponds to a slope of :
This means that the rise is 8 and the run is 100:
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The grade of a road is its slope written as a percent. A warning sign must be posted if a section of road has a grade of at least 8% and is more than 750 feet long. a. A road rises 63 feet over a horizontal distance of 840 feet. Should a warning sign be posted? Explain your thinking. b. The grade of a section of road that stretches over a horizontal distance of 1000 feet is 9%. How many feet does the road rise over that distance?
The height of lava ejected from the Stromboli volcano can be modelled by the relation h = -5t(t - 11), where h is the height, in metres, of the lava above the crater and t is the time, in seconds, since it was ejected. a) Graph the relation. b) Find the maximum height reached by the lava, to the nearest metre. c) How long does the lava take to reach the maximum height? d) Is the length of time that the lava is in the air twice the answer from part c)? Explain why or why not.