Reminder Round all answers two decimals places unless otherwise indicated.
A Ramp to a Building The base of a ramp sits on the ground (see Figure
a. How high is the ramp
b. How high is the top of the steps relative to the ground?
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- Reminder Round all answers to two decimals places unless otherwise indicated. A Wheelchair Service Ramp The Americans with Disabilities Act ADA requires, among other things, that wheelchair service ramps have a slope not exceeding 1/12. a. Suppose the front steps of a building are 2 feet high. You want to make a ramp conforming to ADA standards that reaches from the ground to the top of the steps. How far away from the building is the base of the ramp? b. Another way to give specifications on a ramp is to give allowable inches of rise per foot of run. In these terms, how many inches of rise does the ADA requirement allow in 1 foot of run?arrow_forwardReminder Round all answers to two decimal places unless otherwise indicated. 4. A Reception Tent A circular reception tent has a center pole 25 feet high, and the poles along the outside are 10 feet high. Assume that the distance from the outside poles to the center pole is 30 feet. a. What is the slope of the line that follows the roof of the reception tent? b. How high is the tent 5 feet in from the outside poles? c. Ropes are used to stabilize the tent following the line of the roof of the tent to the ground. How far away from the outside poles are the ropes attached to the ground?arrow_forwardReminder Round all answers to two decimals places unless otherwise indicated. An Overflow Pipeline An overflow pipeline for a pond is to run in a straight line from the pond at maximum water level a distance of 96 horizontal feet to a drainage area that is 5 vertical feet below the maximum water level see Figure 3.21. How much lower is the pipe at the end of each 12-foot horizontal stretch?arrow_forward
- Reminder Round all answers two decimals places unless otherwise indicated. The Mississippi River For purposes of this exercise, we will think of the Mississippi River as a straight line beginning at its headwaters, Lake Itasca, Minnesota, at an elevation of 1475 feet above sea level, and sloping downward to the Gulf of Mexico 2340 miles to the south. a. Think of the southern direction as pointing to the right along the horizontal axis. What is the slope of the line representing the Mississippi River? Be sure to indicate what units you are using. b. Memphis, Tennessee, sits on the Mississippi River 1982 miles south of Lake Itasca. What is the elevation of the river as it passes Memphis? c. How many miles south of Lake Itasca would you find the elevation of the Mississippi to be 200 feet?arrow_forwardReminder Round all answers to two decimals places unless otherwise indicated. Lines with the Same Slope On the same coordinate axes, draw two lines, each of slope 2. The first line has vertical intercept 1, and the second has vertical intercept 3. Do the lines cross? In general, what can you say about different lines with the same slope?arrow_forwardReminder Round all answers to two decimal places unless otherwise indicated. The Rock with a Changed Reference Point Make graphs of position and velocity for a rock tossed upward from ground level as it might be viewed by someone standing atop a tall building. Thus, the location of the rock is measured by its distance down from the top of the building.arrow_forward
- Reminder Round all answers to two decimal places unless otherwise indicated. Looking over a Wall Twenty horizontal feet north of a 50-foot building is a 35-foot wall see Figure 3.22). A man 6 feet tall wishes to view the top of the building from the north side of the wall. How far north of the wall must he stand in order to view the top if the building?arrow_forwardReminderRound all answers to two decimal places unless otherwise indicated. Falling with a parachuteWhen an average-sized man with a parachute jumps from an airplane, he will fall S=12.5(0.2t1)+20t feet in t seconds. a.Plot the graph of S versus t over at least the first 10seconds of the fall. b.How far does the parachutist fall in 2seconds? c.Calculate dSdt at 2seconds into the fall and explain what the number you calculated means in practical terms.arrow_forwardReminder Round all answers to two decimal places unless otherwise indicated. View from the Top Your office window is 35 feet high. Looking out your window, you find that the top of a statue lines up exactly with the bottom of a building that is 600 horizontal feet from your office. You know that the statue is 125 feet from the building. How tall is the statue? See Figure 3.14.)arrow_forward
- Reminder Round all answers to two decimal places unless otherwise indicated. Another Line with Given Vertical Intercept and Slope A line has vertical intercept 8 and slope 2. What is its horizontal intercept?arrow_forwardReminder Round all answers to two decimal places unless otherwise indicated. A Rubber Ball A rubber ball is dropped from the top of a building. The ball lands on concrete and bounces once before coming to rest on the grass. Measure the location of the ball as its distance up from the ground. Make graphs of the location and velocity of the ball.arrow_forwardReminderRound all answers to two decimal places unless otherwise indicated. Skirt LengthOne authors analyzed skirt lengths in the United Kingdom UK and Germany. To get a standardized measure of skirt length, she calculated the ratio. LengthfromshouldertoskirthemLengthfromshouldertoankle The article includes the following graph of the ratio for skirt length in terms of the year. In the graph, the solid line is the ratio in the UK, and the dashed line is the ratio in Germany. FIGURE 1.32 Ratio for skirt length a.Does a larger ratio indicate a longer or a shorter skirt? b.When were skirt lengths shortest in the UK? c.In this period, did skirt lengths in either Germany or the UK ever reach to the ankle?arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning