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A Ramp A ramp runs from the ground level to a building entrance that is
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- Height from Slope and Horizontal Distance The base of a ladder is 3 horizontal feet from the wall where its top rests see Figure 3.27). The slope of the line made by the ladder is 2.5. What is the vertical height of the top of the ladder? Assume that the positive direction points from the base of the ladder toward the wall.arrow_forwardSlope from the Rise and Run One end of a ladder is on the ground. The top of the ladder rests at the top of an 8-foot wall. The wall is 2 horizontal feet from the base of the ladder. What is the slope of the line made by the ladder? Assume that the positive direction points from the base of the ladder toward the wall.arrow_forwardSlides A company manufactures slides. The top of the slide is 5 feet high. The bottom is 7 feet away, as shown in Figure 3.11. a. If the coordinate axes are chosen as shown in the figure, find the slope of the slide. b. A child complains that the trip down the slide is not fast enough. How should the slope be adjusted to accommodate the unhappy child?arrow_forward
- Height from Slope and Horizontal Distance The base of a ladder is 4 horizontal feet from the wall where its top rests. The slope of the line made by the ladder is 1.7. What is the vertical height of the top of the ladder? Assume that the positive direction points from the base of the ladder toward the wall.arrow_forwardA Ramp into a Van Suppose a ramp is used to move a heavy object into a van. Suppose also that the van door is 18 inches off the ground. a. If the bottom of the ramp rests on the ground 4 feet from the van, what is the slope of the ramp? b. If the ramp cannot have a slope of more than 1.2 inches per foot, how far from the van should the ramp rest?arrow_forwardMore on the Circus Tent Assume that the roof of the circus tent in Exercise S- 11 extends in a straight line to the ground. How far from the center of the tent does the roof meet the ground? A Circus Tent You are at the center of a circus tent, where the height is 22 feet see Figure 3.29). You are facing due west, which you take to be the positive direction. The slope of the tent line is 0.8. If you walk 7 feet west, how high is the tent?arrow_forward
- Slope If a building is 100 feet tall and is viewed from a spot on the ground 70 feet away from the base of the building, what is the slope of a line from the spot on the ground to the top of the building?arrow_forwardA Circus Tent You are at the center of a circus tent, where the height is 22 feet see Figure 3.29). You are facing due west, which you take to be the positive direction. The slope of the tent line is 0.8 If you walk 7 feet west, how high is the tent?arrow_forwardRoad Grade From the top of a mountain road, a surveyor takes several horizontal measurements x and several vertical measurements y, as shown in the table ( x and y are measured in feet). (a) Sketch a scatter plot of the data. (b) Use a straightedge to sketch the line that you think best fits the data. (c) Find an equation for the line you sketched in part (b). (d) Interpret the meaning of the slope of the line in part (c) in the context of the problem. (e) The surveyor needs to put up a road sign that indicates the steepness of the road. For example, a surveyor would put up a sign that states 8grade on a road with a downhill grade that has a slope of 8100. What should the sign state for the road in this problem?arrow_forward
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