APPLICATIONS
Law of the Lever The figure shows a lever system, similar to a seesaw that you might find in a children’s playground. For the system to balance, the product of the weight and its distance from the fulcrum must be the same in the same on each side; that is,
This equation is called the law of the lever and was the first discovered by Archimedes (see page 831).
A woman and her son are playing on the seesaw. The boy is at the one end, 8 ft from the fulcrum. If the son weighs 100 lb.and the mother weighs 125 lb., where should the woman sit so that the seesaw is balanced?
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Chapter P Solutions
Algebra and Trigonometry (MindTap Course List)
- Navigation A boat race runs along a triangular course marked by buoys A,B, and C. The race starts with the boats headed west for 3700 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1700 meters and 3000 meters. Draw a diagram that gives a visual representation of the problem. Then find the bearings for the last two legs of the race.arrow_forwardAir Navigation An airplane flying at 550 miles per hour has a bearing of 52. After flying for 1.5 hours, how far north and how far east will the plane have traveled from its point of departure?arrow_forwardNavigation On a map, Minneapolis is 165 millimeters due west of Albany, Phoenix is 216 millimeters from Minneapolis, and Phoenix is 368 millimeters from Albany (see figure). (a) Find the bearing of Minneapolis from Phoenix. (b) Find the bearing of Albany from Phoenix.arrow_forward
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- Air Navigation Two planes leave an airport at approximately the same time. One plane flies 425 miles per hour at a bearing of 355, and the other plane flies 530 miles per hour at a bearing of 67 (see figure). Determine the distance between the planes after they fly for 2 hours.arrow_forwardMeasurement A city engineer plans to build a footbridge across a lake from point X to point Y, as shown in the picture below. To find the length of the footbridge, she draws a right triangle XYZ, with right angle at X. She measures the distance from X to Z, 800 feet, and from Y to Z, 1,000 feet. How long will the bridge be?arrow_forwardEnvironmental Science The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 E, and the two towers are 30 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80 E from Pine Knob and S 70 E from Colt Station (see figure). Find the distance of the fire from each tower.arrow_forward
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