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_forwardHeight of a Building You measure the shadow cast by One Liberty Place in Philadelphia, Pennsylvania, and find that it is 105 feet long. Then you measure the shadow cast by a nearby three-foot post and find that it is 4 inches long. Determine the building’s height.arrow_forwardAPPLICATIONS Height of Tree A woodcutter determines the height of a tall tree by first measuring a smaller one 125 ft away, then moving so that his eyes are in a line of sight along the tops of the trees and measuring how far he is standing from the small treesee the figure. Suppose the small tree is 20 ft. tall, the man is 25 ft. from the small tree, and his eye level is 5 ft. above the ground. How tall the taller tree?arrow_forward
- Height of a Flagpole Jack is standing next to a flagpole, and notices that the shadow cast by the flagpole is 4 times the length of his own shadow. If Jack is 5 feet, 8 inches tall, how tall is the flagpole?arrow_forwardFencing a garden A homeowner has 100 ft of fencing to enclose a rectangular garden. If the garden is to be 5 ft longer than it is wide, find its dimensions.arrow_forwardWeight of a Golf Ball A major feature of Epcot Center at Disney World is Spaceship Earth. The building is spherically shaped and weighs 1.6107 pounds, which is equal in weight to 1.58108 golf balls. Use these values to find the approximate weight (in pounds) of one golf ball. Then convert the weight to ounces.arrow_forward
- Cable Tension The cranes shown in the figure are lifting an object that weighs 20,240 pounds. Find the tension (in pounds) in the cable of each crane.arrow_forwardSurveying To approximate the length of a marsh, a surveyor walks 250 meters from point A to point B, then turns 75 and walks 220 meters to point C (see figure). Approximate the length AC of the marsh.arrow_forwardTravel Distance A cars wheels are 28 in. in diameter. How far in mi. will the car if its wheels revolve 10,000 times without slipping?arrow_forward
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