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Reminder Round all answers two decimals places unless otherwise indicated.
A Road up a Mountain You are driving on a straight road that is inclined upward toward the peak of the mountain (see Figure
a. Think of the direction in which you are driving as the positive direction. What is the slope of the road? (Note: Units are important here.)
b. What is the elevation of the road
c. You know that the peak of the mountain is
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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- Reminder Round all answers two decimals places unless otherwise indicated. A Cathedral Ceiling A cathedral ceiling shown in Figure 3.18 is 8 feet high at the west wall of a room. As you go from the west wall toward the east wall the ceiling slants upward. Three feet from the west wall, the ceiling is 10.5 feet high. a. What is the slope of the ceiling? b. The width of the room the distance from the west wall to the east wall is 17 feet. How high is the ceiling at the east wall? c. You want to install a light in the ceiling as far away from the west wall as possible. You intend to change the bulb, when required, by standing near the top of your small stepladder. If you stand on the highest safe step of your stepladder, you can reach 12 feet high. How far from the west wall should you install the light?arrow_forwardReminder 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 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_forward
- 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 3.17.) Its slope is 0.4, and it extends to the top of the front steps of a building 15 horizontal feet away. a. How high is the ramp 1 horizontal foot towards the building from the base of the ramp? b. How high is the top of the steps relative to the ground?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 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_forward
- Reminder Round all answers to two decimals places unless otherwise indicated. A Line with Given Vertical Intercept and slope On coordinate axes, draw a line with vertical intercept 3 and slope 1. What is its horizontal intercept?arrow_forwardReminder Round all answers two decimal places unless otherwise indicated. A Line with Given Intercepts On coordinate axes, draw a line with vertical intercept 4 and horizontal intercept 3. Do you except its slope to be positive or negative? Calculate the slop.arrow_forwardReminder 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_forward
- Reminder Round all answers to two decimal places unless otherwise indicated. A Line with Given Horizontal Intercept and Slope A line has horizontal intercept 6 and 3. What is its vertical intercept?arrow_forwardReminder 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_forwardTEST YOUR UNDERSTANDING | FOR EXAMPLE 5.12 Find a formula for the roof line in the example if the center height is 8feet above the outside wall rather than 4feet. EXAMPLE 5.12ROOF LINES The outside wall of a house is 10feet high. From the western wall, the roof rises 4feet over a horizontal span of 16feet and then descends at the same rate another horizontal span of 16feet to the eastern wall see Figure 5.55arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning