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Chapter 10: Problem 47
A school playground is in the shape of a rectangle 400 feet long and 200 feet wide. If fencing costs \(\$ 14\) per yard, what will it cost to place fencing around the playground?
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How does hyperbolic geometry differ from Euclidean geometry?
Use the Pythagorean Theorem to solve Exercises 39-46. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth. Picky, Picky, Picky This problem appeared on a high school exit exam: Alex is building a ramp for a bike competition. He has two rectangular boards. One board is six meters and the other is five meters long. If the ramp has to form a right triangle, what should its height be? Students were asked to select the correct answer from the following options: 3 meters; 4 meters; \(3.3\) meters; 78 meters. a. Among the available choices, which option best expresses the ramp's height? How many feet, to the nearest tenth of a foot, is this? Does a bike competition that requires riders to jump off these heights seem realistic? (ouch!) b. Express the ramp's height to the nearest hundredth of a meter. By how many centimeters does this differ from the "correct" answer on the test? How many inches, to the nearest half inch, is this? Is it likely that a carpenter with a tape measure would make this error? c. According to the problem, Alex has boards that measure 5 meters and 6 meters. A 6 -meter board? How many feet, to the nearest tenth of a foot, is this? When was the last time you found a board of this length at Home Depot? (Source: The New York Times, April 24, 2005)
From a point on level ground 30 yards from the base of a building, the angle of elevation to the top of the building is \(38.7^{\circ}\). Approximate the height of the building to the nearest foot.
Find the sum of the measures of the angles of a five-sided polygon.
. Give an example of an applied problem that can be solved using one or more trigonometric ratios. Be as specific as possible.
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